IM 6.3.12 Lesson: Percentages and Tape Diagrams
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[/img][br][br]What do you notice? What do you wonder?
Jada has a new puppy that weighs 9 pounds. It is now at about 20% of its adult weight.
Here is a diagram that Jada drew about the weight of her puppy.[br][br][img]data:image/png;base64,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[/img][br]The adult weight of the puppy will be 45 pounds. How can you see that in the diagram?
What fraction of its adult weight is the puppy now? How can you see that in the diagram?
Jada’s friend has a dog that weighs 90 pounds. Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.[br][br][img]data:image/png;base64,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[/img][br]How many times greater is the dog’s weight than the puppy’s?[br]
Compare the weight of the puppy and the dog using fractions.[br]
Compare the weight of the puppy and the dog using percentages.
Noah has $5.
Elena has 40% as much as Noah. How much does Elena have?[br]
Compare Elena’s and Noah’s money using fractions. Draw a diagram to illustrate.
Noah has $5. Diego has 150% as much as Noah. How much does Diego have?[br]
Compare Diego’s and Noah’s money using fractions. Draw a diagram to illustrate.
During the first part of a hike, Andre drank 1.5 liters of the water he brought.
If this is 50% of the water he brought, how much water did he bring?
If he drank 80% of his water on his entire hike, how much did he drink?[br]
Decide if each scenario is possible.
Andre plans to bring his dog on his next hike, along with 150% as much water as he brought on this hike.[br]
Andre plans to drink 150% of the water he brought on his hike.[br]
IM 6.3.12 Practice: Percentages and Tape Diagrams
Here is a tape diagram that shows how far two students walked.
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhEAAABYCAYAAABLVqWfAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAADHfSURBVHhe7Z0FXFXJF8ePq665+1+7u1uxu9u1sRsbRBQQEVARBQxELMROsGNdEbt7FTtRsXXNNde8//kd7mOJ9xARHniZ7+dzxXfevHvvzJ07c+bMmTNJFAFJJBKJRCKRfCM/qX8lEolEIpFIvgmpREgkEolEIokRUomQSCQSiUQSI6RPhEQST6xft55meHnR58+fVYm2efHiBf3222/qJ23z7t07Sp48OSVLlkyVaBfU3w8fPlDKlCkpSZIkqlS7vHz5ktKkSUNJkyZVJdoFz7Nb9+7Ub0B/VRIZqURIJPFEy+Yt6O7du1S0aFFKnTq1KtUmFy5coL///pty5cpFBQsWVKXa5Pnz53Tx4kVWIipVqqRKtcvZs2fpn3/+oVKlSmleSbx37x5dvXqVsmXLxu+tloEifPnyZcqXLx+t3bBelUZGKhESSTwBJSJZ8mQ0eswYypEzpyrVJo72o2jXrl3UuUsXsrQaqkq1yamTJ8nJwZHSpUtHy/18Val2sbYaxkqi+6SJVLZcOVWqTTZt2EDubu70e8vfaZSjoyrVJg/uPyAXZ2eCiiCVCIkkAQIlIlWqVDRpymTKkzevKtUmluYW5O/vT2ZmZmTv6KBKtcmxo0fJynIoKxH+2wJUqXbp27sPBQYGkrePD1WqrG3Ly0pfX3IUCqKpqSm5CaVJy9y5c4fsbGx5qioqJUI6VkokEolEIokRUon4Dj59+kRBQUH05MkTNvlIvh04Zd28cZOCb95UJRKJRCL5UfiqEoHO8eKFi3Rg3/5wx7mzZ9mB6FvBPEt/s760ZfOfqiRuuHH9Bt/nndt3VEns8+zZMxrt4CDysjnUw/71q9c0YZwLzZwxgz9LwgNnHcwZXzh/nj+/efOG3CZMoMkTjWMaRH1Gvbh544YqkUgkEklM+aoS8VmMtmfNmE69evakPr17hx5tWrWmWtVr0LSpntwRRBeM3I8cOULbAuJurhBzOEsWL+J7jsvOApaIW7du01OhTOgWNj1//oyOHz9Oq1euUiXRBx2clpf7ffnyhVYsXUa9e/aiX//3P5Yhv3fv3qE7d+7y57gGS5bOnD1DgwYMpMuXLqtSiUQikcSEb5rOsHcYFXr07NWLChcuTHN9fIQiMVVN8XUqVqpIo8To3Wr4MFUS+7x9+5ZePH9BWbNmpWo1qqtS45Ate3YyH2JBnl7TVEn0wbKwnt2782hdiwTfDKbNmzdTq9atealffNGiRQtWJjasW5eopqGgXGOZ5aOHD+npk6f06eNH9RvtAYUVcSmQVxxoE7QM8vfo0SPOK5ZbarlefxT19unTp5xXTCWjXmsVPEfEpdA92zev3yS4Z/tNSkQfM7PQw2nMaPLwnEoVK1ak1atW03MxGo8OCEjSuWsXyl+ggCqJfaBA3L9/n1q2amX0YC+4XqPGjal8hQqqJHqg0Tt35izduX1blWiPfXv38nNp07aNKokfsJyyabOmtHLlSnr8+LEq1S6oW/v37qPxzuNolN1IGjnCjhzs7clr2jR6+OChmko73AoOJo/JU8hplAPnFQemGPfs3s0dkJaAorTKbyU5jx5D9nYheUW+587xiXab/KOAzvPE8RM0yd2dHEbac15Rn/H5ymXtWRXv37tH3rNn02hHp9D31nnMGPpTDMQSklL8XY6VufPkoWrVq9P79+/ZBwHcvHmTenbrxh0G/AOWLllCrX9vSd06dxFprtOVK1eoTcuWNGvGTE4/e9YsaiY6XcyT62P2zJnUrnUbOnL4MH/GKH33rl003MqKmjdpyr/1mDKFg/bogNb25MljavF7C1VCrLkuXbyYOrY35d906diJpk/z4sAhXwOVFz4geIj4bT+hRKFBEl9QihQp1FQh4DpWQyzJfNBgVRLCu7fvaO3qNdSrew8+B8oAL/qli5e4/KaLBt1z6lR6KLTNNi1bcZpOpqahJnd0BGgcfbznUKsWv/P3A/r2ox3bd/D3YTl44ADfw22hkJwODCTb4dacHs8A9/Dvv/+qKcODQCqYntJdH+dAelxbxxPR6fp4e1P7Nm2pRdNmXMkxuv0amLaA1apataocvORrwN8E18fysdevX/PvfZevoFEjR9JHMfLYsW075x/36T7BlW6o01a4F7fxE1jesnlzmjJpEr385yV/pwNBgKDk/frrr+Qhvtc6Y0UHM0ooDQ8ePKDeZn1o5KhR1KhJE/Lf4k9dOnXS1EiO60W//rTV359MypuQrd0IGm5jzfUC7y/eDa2Atgbr+Kd5etJPSX+igYMG0Qj7kZRXvF+zRLs53sWFXr16pab+8Vm3Zi0NGzqU/amatWjBFvHWYkBy/Ngx0Sb3paBr19SUPz7nz52jgf0H0EpfP8or+tkhQy25Ln8Rfc54oRBvWG94yaWx+S4lAibhn34KfwpWKG7cFErBKXJ3daUN69bztEchcaTPkIGVgGvXguhv0dEDk3Im/BnpwnZWAGa5NaITgwNnmTJlWIaOF40BHDSLFStGBQsVFpVrDQ0UDYeuEiVPnow6d+lKuXLn5s+3b90i84GDRCc2l9KnT0+lSpXmCIEr/fy4Y4oK+D34rfClnqLz/+vECSpStBilTpWaxomX19bahlKmDK9EwER86/YtvqYOmKM6mranKZMn83VLly7DUy1rxX1DGUGZ3L93n7JkySLKMylHfkOa4iVKUJo0IZEM7wklaYzTaFq9ahVPmZQsWYqePX9GQ8zNaYSNbbiyQ8Nx4sRxmjJxElkMNufrIz3SODo4sFIRVpNFB71zxw6OW7Bp40Zx/mxUokRJVmgOHTwY+oyxbriVUAjXipcZZYtnilFQt86dv/oCP7h/nxWDosWK02/p0qlS/UBpgPb9119/kVm/vpQ2bVpW5J49e0oBWwNEQ2IlFEdRlmnSUKFChWjt2rXUu0dPWrxwIXUXz/3SpUtcfpkyZ6Eli5dw2eOcYUFQnNwiDwEB21SJdoHVsP+A/jRv4QKqXqOGqMNFqG27thz0CeZgJ1EntELDxo2oYaNGtH3nDqEwmfE7VKp0aRrv5iryXZQdeBOaOTimZBDtabv27WmBqPduIl+VKlfmNhFK0xBLSzHY2s0WKK3Qqk1rshhiQYuWLqWWrVpS4SJFqJkYKIwVyhL88ia6u2vm2ZYUfQCspZv+3ExW1sO5vUJdHuM8lurWrcuD8ATjPycKPUrEqE8ZPGCAkj9PXlXyH/fv31fEaFApX7acIhpplokGXKlRtZrSpGEjZbSDo/L0yVOW6wgMDFRKFC3G34H3//6rNG3UWBGjWuXWrVss07Fr504+90RXN1WiKGJEoVy7dk39FIIYXXC6VStXqpL/EAXN8nKlyygXL1xQpSGIjlQRjaj6ST9CI+S89O3TR3n18qUqVRSh4Ci9uvfgcvGYMkURygPLHz54oLRu2ZLzo2P92rVKkYKFlHVr16mSEF6/eq28ef2G///xw0dl+jQvpaJJeb6viIjRonLj+nVFvCyqJOT+e3brrlSpWEm5FRysShXFf8sWvq+O7U0VoQio0pCyGD9uHF9DjNhUqaJcOH+B7xf5ER29Kg2PUESU+nXqKm1atVKuXr2qShXl4sWLyu/NmitdO3VSJfrx8/VVSpcoGekZ4XpNGzXicwAxWlZGWFtzngK2bmUZ+CjKd4aXF+dLaOjhykgoMErhAgWVYoWLKAvnL1CliiKUJmX2zFlc34SCoUpDwPmQ3wJ58ymPHz9WpcYFee7Qrr0SfPOmKjE+1atUVRrUrad+ijuGDDbnsnZ1Ga9KjM/cOXP4Ht6GeYfigqNHjnD9RbsWXyCPRQsVVny8vRUxEFKlcYNZr96KSZmyyrGjx1SJ8WlUv75Sp1YtbpfjEr8VK7gOjbQdoUqMz6IFC7m9Q38Ql9y+fVvp3KGj0q51G1Win2+yRJw/f56Pk2KEuExog5inwUqE7j168IYkYcFouN+AAZQ+Q3pVop+fU6RgMxxM6YGnTqnSEIvGgf372dTavWdPVUqUKVOmSLH3Ma2CUeXVy1dUSWQwCocpPiyIFght3hCifOjsmbN8b7jHtL/8on5DbApH/qJFkiR8rpf/vAg3J5smbRoxmo7engkwwefLnz/cHgu4/7r16vH0xNUr4fMO3wxsnJI5c2ZVQmxR6NS5M2vtsGIAlMvpwFMkFDiyHmHLUfb0sXP7DgoODqb27U159K8D/4eV6MSJv0T5PlGlkdm1YyeXWb58+VVJZOCfAA17L+bvXSdQ4yZN1G/+A/lydHLivOtAtMfs2bNTgQIFqFGTxqo0xFLWqUtnrkPwxQgLzpMrd4hz55nA0/w3sYF3DPUyMYB6HjptI+qF1nn37t+EM1KNY9Cm4tnifcehZfC+Iq/4+1MC2QDsm5SIHl278dG3jxm5TXCl06dPU7/+/dnkHBGY1XLmit5+AM1aNGcl5MSx4+xHAcSIni5euMCOmzCvhwUvB+Y4A08F0v59++kv0YFhSuDDh/dqiv9Ax4n5b3QwlkMsaYi5BS8zxTTF10DDc+/eXVY0wnbGOpA/dIxfAx09pi88p3ry1IMuRkJMgAKAqZLDhw5z3uELEq6BVEEnmzFTxkgvVYqUKbkCimE6f0ZZYq4cG+foy6OOHdu38++S/5ycr6s7cB+YpsB5MI1giHPnzrH/CKaT9IE8rFm1iv7YtIlXttSrX1/9Jjw///wzZcqcSf30H9gQJ69QJiJuZIXnj/vG+SMCBQjlE3Q9SJUkLuDvginDChW/zQn4RwRTc3t27+GpVTh3a52FC+bzNGCOnLk0v9skfCJevPiHB5fIs5aBIy36xYwZM8brCrewfJMSgblGHFh9MGv2bDpw+BANMh+s98F9y4uKUSEcZA4fPkyPHoV4i1+7do19JTp16cKfwVvRgcJhCo6FTRs1JitLSw5UNGvGjHCOlRGBAuE1Yzo1btyIO3A4Dg7qP4AOHToUpZcrOh/MGaND1qf14b6js/siOuit2wKobbt2XAE6dejITolw8oJSEB2gOExwcaHaNWpSl06dydFhFLmL0br/li1qivCg80yi+jKEJaJSgc71H1Ex0cHrfB8iAgXhzZsQ5W7h/Pl83bDHzZs3RONcKJJ/SFjevn3D1hRD5QV/C585Pnx/WH5oCEP3iGxBwfiWBjOlas1ILCO2sKCMd+/exeU9dtw4VapN8B5jP4tLly6K9so80jugNRABdumSpWwhrFq1iirVJvD3Wr9uHQ+i+g8YoOlni3qMWYB9+/dRe9P2BttCY/NNdzFx8qTQo279erGq9VWvXoOd386cPsNWArz0GL2XLl2Kv4fMd4Uv2Qy3ZivHBDdXWrx0KW9ws2T5MipevDinM0ROobW5T55Mviv9yNrGms9n1qu30NgXGOxEUCGRR6TFA4wIZNGxaAA4AcIpZq4YIdiMsKV8+fORpcUQmjtnTiQrQkQwXYEleZje6WPWh+bOm0d+YtTuv20be+1+D8gjrBOfPuvPI0CapElDlsqu8PPj6+o7Kkax7XGaNGm5nN+/178yBAqG0+jRHMNhtJOTURzC3r4JUSBTCOUjMQGrnaeHh3jHjtFQq6GRVhhpjQAx8HBxHkdVqlSl8uXLq1JtgtVmdra2rExjKg/O7FoF7SZW3O0TbQV2h61QsaL6jTaBY/8k94lUqGAhdqhNKCQMVUZQoGABKlu2LC9dQae5a+cu9kLVefLDx+LokSP0yy+/kMNoJ2rStCl3xOjgMLcb3RDcWbNlo159+gglxE00KCa0acNGg2vlce4sQpGByVff+vJXL1+xeelbyJMnDwfqGuvsTI2bNKbNf2ymNxFWDkQEptjjx09w3Iv+AwdS8ZIleCUH+N49J6DNYhoDeTQUfAhpypmYcHns3bNHlX4bUPxg9TG0HBTTEe07mFLf/v3ZVOc6YUIkP4/Y5vr166w4QcFMTIwfN442bdpEvfv0ph6iLmoZrKkfO2Ys1/GRo+wjTY1qCfj9eEyazNtyu4wfTw0aNFC/0SZQILD6ClOf5hbmqlSbnDh+nBxHOXBfh1VVCanNSjBKBBwmEc3yzJkzITEmRMdqIkYNoaMk0djD9I7PmB4IC2I46OIERJfsObKLa2ZmS4I+XwqAzrNwocKswGD9eUSOHz8WbUtERP4n8gCH0BAnGSFIQpRMjB4wvRFx/h4jeNwLQkVjCkUHFCcsefwecD7Ebfj86TP5+fqq0siYduzA97Bp46YYBTqp37ABKyrXg66rkvBAQQF58+WlOfPm8vPEcl6MmuMCPLdbt4JZiYDymliwGjKEg8M1adJENEZWPAWkVaDwuorOFO/UkmVLeUmyrp5pEUf7UbRvH5ySXan57y0oaZi2QmvMnzuXJk2cxEshbWxtKJ0BXystgCl4LO9H3B84nGOZdkLyc0kwSgRA4KoMGdKHmGwKFaKS6lQG+OXXX0WFKckj2cmi8sCfAMfC+Qto5vQZlCNHDjVleNABbw/YxkGUsF8HpkkOHTxEixYspL1CWakurolVD4YoV96EOnTsyEGx8BvETcB1MQ2BzxhBfw3so4HrY4UDrg+LyprVq2nj+g3UoGFDSpU6FXfmhYsWZUdN62HD+B4RYAsdL/KGjh7BVhDHAefYJpSHkbYjKGfO6DmvRkX1mjV5JQe0egTgOrj/AN/j1i3+7OgIMLXk4OjA5lJcd+eOnXwf2MwKeXEWo72oqFW7NmvR0dnxFD4smNoIEM9ryaJFvH9LbAMl9d93/9L/hGIGa5PWQUeK8PS7du2mZs2a0QR3N55C0iow/U50cxfP9zcK2L5N088YbeKQwebs6D7Czo6aNW+mWWUJVmrE7fGe7U2Vq1ThTjWzapXVIpcvX+apOLy/c4TiVLNWrQT3bKOlRGAEHJXnfliSi84wY8YMoRssReRn0XDB6gClICIFoTiULMWrBWA+15nsATpZLPXEHC68cRHoCStE4JCHyGVoGDHVERGMnrNkzcLBraCcWFkO5fCw6KCHWA7hQB5RwUs5+/fntLt27mSfDDROz5+/oHHjXaiWeKhp06QhXbcIB8z06dKHWypZtFhReixedCgiuD6CJe3dvYeVk779+4UuV6xarSpZ29hwhEWb4cPJy3Mad7pwUkUwGQQJgjIy3GoY+a5YwcFl4BSH8oRfgw6kx5QAyjoiKA+k1zkVAly/34D+NNLens6eOUN2I0bwPcJfRBcUDPTs3Vtcz5mnmODQirzAf2H7tm08TRMVWTJnYWXo4oXzHGlPB+4nffoMkVZtwNG2efPmQon5I3TVR+rUafjeI4KXCveEOhXxBftJfEbdTZs2fN3AcmLUHTS4WgeK9IL582n5suVk2qEDTZ7qoWkLBJR8mH5TpExBbpMmcphzrYI6PNHNjbZv386BmDp17qRZHxfU400bNnA7Cv8Wd9EmGho8agFYIMaK9hXtJfq4mrVqqt8kMMSoMEq+fPmi3Lt3T7ly+bIqiRqhKSrXr19X7t+7r0rC8+7dO+Xa1avhgiCFxc7WloMDnTl9WpWEB0GC7t0NuR8EWELQIdwjglA9MnBOfI/ATrgv/A7BiRBgCPLo8unTJw4khd/fvnWLgz+JSs0yBKzSnQvBufB92OBPANcXLzz/Hgd+g99HBNe5r5Y30iMIFcD5EfApKChIuXrlCpcfAlyhPJAffKfj1atXHJBLaK+q5D9w3yj/Fy9eqJLwoFzwPa6Pcsbzisib12HKUtwPfoP7/hrLlixVypctq5w6eVKVhOQXwZYilhd49vQpX+P58+ecf/EycV71PTcERnlw/36k+8BnlBfqhw48I6GgKSWLFVeexFOgKWCsYFOu48crZUqWUlycnbluxAfGCja1e9cupU7NWkqt6jWU8+fP633H4hpjBZt6KtqQ4VZWSqnixZV1a9Zw2xsfGCvY1JrVq5UK5Uy4LqFtig+MFWxKDOaUZo2bcD1C0EW028YmusGmkuAfVZ+IdxDUCSsmMIr3W/3tW2lLEjbwc8B+FxUqVOARYnwRch992TToOHo0W0PiA4QZhxVo0pTJHDArrihcIHxwtojAyjdg0EAaamWlSmIfS3ML8vf3JzMzM7J3jLsw22PEyM3P10/9pB9MQe47GHd7aGCaD1Y6tGNYPRZXCAWbOnfsFCmke1hgnV2/caOoX1FbCr8H7G8TGBhI3j4+VKmy4RVa30uj+g044J0h8B7369+PrG1tVUnss9LXlxwdHMnU1DRO2zBPj6k0b+7cKH3uMBV74pT+PadiA1i57Gxs2W9v7QbDe3XEuxKBy8MEjTmf5UuXsdnVY+pUqlm7lppCohVgjty4YQPNme3NO8CWVvdDMSaob94zZ9HefXvJ1d09UvRTY2IsJQJ72EQF9mupUrUq1YrDd85YSgT8nrDpXFTNGqa9zC0s1E+xj7GUCPhCrFi2jH2NDIGpjV69xcAsDh0PjaVEYPPB52qkXX0gLk6VKlWodp06qiT2MZYSAV+zI0eO0JcvhmPYpEiRkoZ9ZTr+e/hhlIgtmzfT0SNHeQUEKiI2VLGzH6l+K9EaWNkBfwT4bXzrdumxwZcvX2j3zl2UO09u3sAnPjGWEpEQMJYSkRAwlhKRUDCWEpEQMJYSkRCIrhIR76szEDJ59+7ddDM4mJ1HsAZWol0QsRJLlOJDgQAweTZo1DDeFQiJRCLRAvGuRGDFxaGjR2jT5j84gJRupYJEIpFIJJKETYKKEyGRSCQSieTHQSoREolEIpFIYkSCWuIpkSQm4FgJ73mXCeM5BLqWGWFtTQEB26hHzx5kM2KEKtUmJ44dpxG2thyef8MfIRFftYzFoMG8XcG06V7x5utkLNauXk3jnMdRm7ZtyNnFRZVqE4RcQCh1rKpL0KszJJLESs9u3Xn7+8QCmpqEFrI3rkhMeQXy2WoXLJtd5rtC/RQZqURIJPHEyb/+ooMHD6qftI/y5Quv5U8MJLZOFSSa/CaiegxKlChJDRoa3hFWKhESiUQikUhihHSslEgkEolEEiOkEiGRSCQSiSRGSCVCIpFIJBJJjJBKhEQikUgkkhghlQiJRCKRSCQxQioREolEIpFIYoRUIiQSiUQikcQIqURIJBKJRCKJEVKJkEgkEolEEiOkEiGRSCQSiSRGSCVCIpFIJBJJjJBKhEQikUgkkhghlQiJRCKRSCQxQu7iKZHEEwcPHKCTJ0+qn7TPl8+f6aekSdVP2uYLtotOkiRRbI/NXQi2Pk8k22OLp0r1G9SnEiVLqpLEjVQiJJJ4omvnznT82HH1k/ZBU5MYOlWQ2PIKEkt+fxLK0lCroTTYwkKVJG6kEiGRxBMtm7egn3/+mZzHu1Du3LlVqTaxs7Gl7du3U7fu3cna1kaVapMTx4+Tvd1I+u2332jthvWqVLsMGWxOZ8+eJU+vaWRSvrwq1Sa7du4kW2sbMrcwJ6vhw1Vp4kYqERJJPAElIlWqVDRpymTKkzevKtUmluYW5O/vT2ZmZmTv6KBKtcmxo0fJynIopUuXjvy3BahS7dK3dx8KDAwkbx8fqlS5kirVJtu2BpCFublUIsIgHSslEolEIpHECKlESCQSiUQiiRFRKhGY6Xjx4gXduX3768edO/Tp0yf1l1/nyuXLVNGkPC1etFiVxB5838+f8329ef1alcY+9+/fp+pVqtJUDw/6rOb9zZs3ZG9nRzOnT+fPkvC8FeVz7949evfuHX9+Lp5Ts8aN2bRvLB4/fszH58+fVYlEIpFIYkKUSsT79+9p9syZVKdW7a8ejRs0pCdPnqi/jF8+fvwoOvapVK9OXTp37pwqNQ4vX76kq1eu0u7du1VJ9Pn333/p7Jkzmu3coGT6rlhB7du0peCbwarU+KxYtpx6de9BV69eVSUSiUQiiQlRKhHJkyentu3b08zZs0IPy6GWlD59emreokU4+bTpXuyNnBCANeD5s2eUPXt2Kl+hgio1DpkyZiI7+5E0zsVFlUSf60FBNGvGDFaCtMiN69dp1cpVZNrBlIoVL6ZKjY9pxw70yy+/0MJ583k9v0QikUhiRpRKRNKkSalo0aLUtFmz0KNipcqUMmVKKlCwQDh5o8aNWZ4QePH8BU81tG3XjhUhY5IseTKqVLkylSxVSpVED0zBBJ46RefOnQ9dd601jhw+Qs+fP6O69eqpkvgha9asVL1Gdfrzzz9Z4UwMXDh/nrp07EQVyplQ2VKlqVrlKmRrbU2vXr1SU2gLa6thVK92HSpXugznt4MYDO3etUuT79ayJUupVYvfqXzZcpzX+nXqkuv48ZocjFy7do0G9h9A1apU4bxWFf3RwH796cGDB2oKibGJNcdKjOjWrl5DPbt112uqxtTIAjHy69a5C719+1aVRgbfnT1zlhxHOVDr31uy2XnTxo306NEjNUUI+/bupX59zPi818UI18tzGpm2bUdWQyzp4cMHPNfepGkTTovpAczD+63wpe5du4Wed94cH7p96xaniYqQezpDY51G82/NBw3iaIOwdqRIkUJNFcKzp0/JZthwvo+w4Pp/bNpEA/r243N0bG8qXv4lFBQUxC/7nNneNGP6DJ4SwndI071LV7p65Qr//sOHD5x28cJF1EEoR/ge67MP7N9Pz8R9hOXwoUPciMLv5JRQTBztR3H6Pj170eZNf9DfEcoS4B6CxAuK+0CDi/QjR4ygLX9uUVOEAGsJ7hsdUpuWrWjRwoV0Kzg41CfEEJ/E+WfOmEG1atemfPnzq1LD3Lt7j+xsR9BQUY7wo8AzXL1yJTmMtOcy2rNrNy8bxH1O8/TkOoC6cOP6DfKc4sFyTJvMmD6d7y8sUI4rVqpEmTJlotEOjqpUu0ydPIW6ivfu119/pckeU2iZ7wqysBxCJ46foCYNG9FTUWe1wqGDh6hKxUqiPgRRh44daOHixeJYRClTpKQRNra0ZfOfasofH7RxeM8XzJ/Pg7rpM2fQkmXLWElfu2Ytvx9oo7TC1i3+3Ca+fvWShg+3puV+vjRipB0rEL83a04XLlxQU0qMSawpEYjilSNnDroiOr2ArVtV6X/AV+DPzZt5KgSNuD5ev35N8+fOI7PevenTp49Uo2ZNKlS4MHdszqNH0+3bt9WUxA6fWJt8/tw5chs/QXSkT6lK1arcOaQT1+jXvz9lz5GD06LjGz7UinZs304lihenmrVq8XnPnjsr7inqRgV+CqtXrqJ+Zn35pa1eowblyZ2HVq9aRe6ubpG0fXy+fuM6d2o6HopKjusvmDdPdKD5uCMtW64snTp5igLFgWsg7/lF55oixc8i3zU4TdVqVemXX37lcyC/i0WHfUYoMyYm5TkPaX9JS0NEQzFl0qRwfhT//PMPHRBKjufUqbRo/gJKnSY1p8+VOxeNsrcXo5QJ7FioA74KW8SovFePnqwsmZiYcNnDsgQlSzd6g3KC6+3csYPKlStH1apXp3179tLggYPopMhHVNy9e5frQKFChb867fXo4UNyGTeOn22Pnj0oVerUfA9///03bRV1y3n0GK5juXLnpuriHk4cO84KEpxZR40cSa9EWaL8cI+LFiyk4aKhhRIXllJiFJMzZ84Y+a78aPTpa0aOo51o2ozp3MGUKlWKunTtSmOcx7IlBvVHK1SoWIEGDBxA8xctooGDB1M5k3IcAMnTy4sqVKhA3rNna2YK63//+x917NSRpnpNIw+hSKNtKlO2DD9rmxG2dOz4MTp8+LBmrC81a9dipWHWnDnUvoMplSxZktq0bUsuEybw915TPb/JuV8SS4gK9k0ITV+pUbWaIkZ/quQ/RCOvCAVAaVS/gSr5D9EBKaVLlFQ2bdyoiJdYuXzpklKhnImyaOEiNYWi+G/ZolQ0Ka/MmT1befXqFacTnbK45kGlfNlyytw5PvwZbNywQSlVvIQiRlKK6FCUd+/esVxUIv6rQ3Suit+KFYoYnShCUw39/uOHD4rQ0hWhGPBnQwSeClRq16ipDBs6lNPinnDOZ0+fKkIxUArlL6B4TJmiiJE2pxcKg9K6ZUulRdNm/Bms8vNTihYqrIiOOvT+8RfnE8pDyOcPH5Xp07w4/2/fvmVZWJAe58ZvdHl4I37b36yvUrVSZeXqlSssAyjHAnnzKaJjVR7cvx96byijeT5zudy3BQSwDAhlTGlQt54yZLC58vTJUz4/8imUG0V0MpxGKABKreo1lE6mHZQ7d+5wGSDNtatXlS4dOyltW7XmdIZYLJ4znr9QvlRJCM/EM2jaqJEiRhL8WSg3XIcqV6ioHD1y5L/nJfIww8uL82VnY6sIRSn0WQRdu8byksWKK5v/2Kx8EM8W4O+GdeuV4kWKinz7sEwHztujazf+3aNHj1SpcUGeO7RrrwTfvKlK4g6UVURQBtWrVFEa1quvSuIO1C2UtavLeFUSd+jLK2Q+3t7ifc0fWqfjCtRbtDdNGzVWJXGHvrwCtJ/FixQRbal36DsUV5j16q2YlCmrHDt6TJXEHfryizYA/UDdWrW/2p5/LwH+W5WC+fIrnh4eqkQSa5YIkDFjRjESqMjLPTFqDQvMiDly5GALgL4Y6zBZY4oidepUNGDQIEqbNi2nS5YsGZUuU4ZHETu2b4s0FYLRe+MmTUL9MfRZOZIk+YlH+kmERq67drLkyem3dOmiHBWL8qFzZ8+wuXeguCekxe9hdYG1o1v3btFaSYFNh0TlZ0sGfguQL5wvTZo0/PlrIH2WrFn5N7o8pha/rVe/PpdJWMsHwHW69+hBWbNlo6TitwBl1KBhA06PJbAA93Xu7Fl68OA+O4SmzxBiKUI+MVWTOnVqTue/xZ9H8+1M2/MIHudHGkxNFChYkE6fPs0WEEPs3buH771w4SKqJDKwtriMdaajR47S3PnzqHKVKpGeJ67rNHYMm+Z1zwLRHvPnz8eHSXmTUD8Y/K1bvx5bh8JaXgDOm79AyLTKiRMn+K+W0dX7sOjqIuq5ltCXV8hE/8OHvu9/VKLKy4cPHzWVV2Do2XK/IL7S1WmJ8YjVEsfDrF2nDisTSxYtDjUtwYy9xX8LmxbzGgjvizQPHzxk8/3ePXvCHVBI0BE8e/acdwIMS/Pfo44vgEpVvmIFqlSpEnXv1p3GOjlxWFpMMXyt8UQH+/DhI547R3jiiGQQcnj5fw109KVLl6YZXtPJycGRDuw/EGmePjqgk4aJH5s27d+3j8sGjkbIR8RygXKSSihkEUn+88+cXpd3KEHwkUifPgN/pw+k3Seuhb9IH/bZwCfjieig8ezPnD6j/iIyly9d4k4dUzD6gD/D3Dk+tGPHDvLwnMqKoz6gCOlzlsUzypMnb6jSExYuHz0mbCiguO/7d++qksTFKj8/Uade8jurdeBovXPnDioj6lVCcQCPS7DKC9MdaG/1Day0BNpCtI3Fi5fgwYXEuMS62lZQjEoxFw2HPnRwIMDfnxQxAsDIUl9nDNCJwFqAI2BrQLhj967dlClzZnaUxIZFYUmb9uudeIECBchx9GjqP2AA3RWjaUuLITRyhB0tWrCAr2cIdD5Pnz7hEbm+LYxhHYiOJQF+ILO8Z9PAQQPpgWjMrIcN401cMF8f0WHUEGfESB+jdDgaes+aRcuXLuOygRVBH6yx4/gK6FyxmoXzaECLh+Lw+nWIF3/gqcBIz+dX0Vi1NzWlLFkycxp9YO4dnX/qVJE7eQDnqM1//MEN37Uo4jdwvgyA83/LSCSlWhc/JsJ51Js3b7LzHcoTTpZaZ53I66WLl6hHz55R1iEtcOTwYfJd4csDl4qVKqpSbQL/KSjDGLAOEO2rxPjEuhKBhrxDx468dGzPrl3cAfn5+lGGDBnY2c0QMLlDQYDm7OjkpPcYZG7OTnbfChoNODTCwWyyhwd7MaMD8ZzqSW6qU44+8Dt0aqigupF7WHQj8+iQOUsW6i4asClTp5L3nDmsbE2ZPJl8xP910RsNAcdLO1tbunz5MjtNuU+aKI5JXCa/t2yppooZyCMUIUN5BDy9oXbOgwYPivRcdAemNQwBZQ/XQF70AQvC1Gme1LBhA5rrM5dXkcQ1mEID+iwbWgb5hhMadl70mj49yik9LeC7fDnNmzuXGjRoQLXqGG6DtMD58+dFm+bKllsoh5iy1SoYeC5dspT27dtPVsOHUYkSJdRvJMYk1pUIUK1GdfZ/wKgVUxHwkYDJNKrGCtMCWbNl5RFSipQp2Owd8UBn9z2jCFgOoMzAIuI1YzoVL16MYxcEi2vqA9fKIjp/TLW819P5QVH6luVx6Izhc4DplTHjnKljp060Y9t2evf2PyVCX0cOU+zNm8HUrn17qlO3LvtG4Dxp0qah27e/vkQ1KjByz5AxA+fRUAePckCZ4e+xo8f0PhscKF9DILgUlKWIvgk6MmfOzCtrhg4bznVnslCUDD2X2OJ60HUu73z58qkS7YNnjFU7AQEBZCMUU3i8axUordtEPl1Fpwp/GesRtryzplZBOwvl8MaNGzxQwqqU72kvEzJQktasWkWLFy2iNm3aUNdu3aQ/RDwRJ6WOitt/4ACuzL7LV/DLjDXbUQElonz5ChzzYP68eZGCAKHSoAE0NFo2BNK/fvU6UgeJe/z11/9xxx5xikQHKmXhIkX5/5v/2MyxDnQgboP/n3/qnWuPCNZqI31YcH1MIeDaeM+T/JSE/4/7hIkuLGwJEIlQBjrLB/KFuA47tu/gzzEFHX/RYsX52suXLo1kFdHlr1Wr1myVWbd2LS/XjEjEWBURadSoEc9bYrltVEChcXXDSOoTTXJ3N6h0fC+ok8G3gvkZlypdWpVqG9TDSe4TadnSZdzoYgoqKsXvRwZxS3bt3Enurq5s9XMRikTu3LnVb7UHpkXdRR4vXrxI9qNGUYOGDdVvtAcsaUuE8uDm6sb5HDB4kMFpckncE2eqW61atbiBPnjwoGikS1GRoiGdsSGQtmmzpjwVMnvmLHIeM4aWLl5CK/1W0jwfHxo31pn27N4drU47LOhsDx48QA729jRz+gw+3zLRWSJWwtGjR6mh6Nww1WAIrLtu07YN7/kwdsxY9kVYumQJB55CYBs0UF8DDogjrG3Ie9ZsWunrx0GvJk+cSNu3bWM/D6yygKKAcsJIaYw4N+4RadE4wBqC1Snr162jWTNmch5wrvHjXNhh9HvBigbEY1izeg1fG06xuDaCOOFZgOw5souGeDw9FArOKDs78vGew/eBtC7O4zhWR1RUrVZNKFLvOVDU1xTBsiYmbJ48KMoX0fgiKmCxwSu2Lr3nVUAoX62DlS/zfOZyfJNevXuTxZAhbM3SKmh3PCZPoRw5ctLEyZP53dIqsEAgCBv80Aabm1Pb9u3Ub7QHFAg/X1/ynu1N9Rs04HgYuXLlUr+VxAdxpkRkyJiRpzCw9Ca6zkzpM2Qga1sbmjl7tmj0/iGvadNEB+VMC+YvoKRCyYCD5LearHDdvPnyCU01NXf+OJ+nx1SeBvCc5kmWVkOjHI3BQmJhaUkjhRJySWj5bmJkgxF7TlFxPad7UbHixdWUhilTtix3VnAcRBCl8S4udPPGTRpuPZwD4sAiAaAQOI124hE75jVXrVzJjp/wJh/vOoED6SAPCGmLaSKMJgcPseDffg+YJurTty+bQGEFga8G7hNRIVOmDLk3lCPCm89dMJ+tMwsXLOCyRERIWBcQeCoqcuTMKTrrrOwgiqBRUYFrwdcDI2VExDx54i/1m9gDK3Ru3LhOrdu0USXaBdarhfPn0yIxeuvbrx8NE/UuXXrtmvXhWDhsqBV76juJwUiRooaXFf/o3L93j0Y7OtLevXvJcuhQ6tCpo2ZH5RhAbtiwgSP7IhjeBDdXqUAkBMSoME54//69MtHNXalfp64iRp+qVJKYWbt6jVK2VGkOHhaf6Opm2VKlQoOUxQfGCjbl5enJgZ6sLIcqQUFBHLQs7PFAHAhOFJcYK9jUwQMHOJhapfIVlB3bd0TKKw4ExYtLjBVsCgHvLC0sOOCdGBhxYLlI+X34MDTAXVxhrGBTG9eHBI7r2qmLcuH8hch5FUdc12MZbCoySfCPqk/EKo//fkw9xEi5Zq2aZG1rGzraliRegoODOdY/VuB4TPNUpcYHviQWgwdTnTp1yW6UfbSsZHFBy+YteNQ4acpkDpgVV4jOmy14CBKmz7EQljhsVtepS2dVEvtgHwd/f38yMzMje0cHVRr7jHZ0YnM3LH+oZ/qeLeLYwKIWV8DKJRQ2Lmv/bQGqNPa5cvkKdTQ1ZT+qYsWK6c0rVrNN8fCgbNmzqZLYp2/vPrwFgbePD1Wq/P3Tq4ZoVL8BO97D8RplGzG/qOOt27ahbt27q5LYZ9vWALIwNydzC3OyGj5clSZu4kyJwCZIMD1NcHPjvSDiq6GWJBxgVvffsoUmT5xEI0eNombNm6nfGA+YRK2HDRdK7t/kOtE9Xp3tjKVEwCcnKtD45s6dh/Lmi7t7MJYSgRgjWM0UVbOG6UHssxNXGEuJgPM59t/5/NlwnJNkyZKzz5O+IGyxhbGUiGPHjtG7CBGLw4I+BvvpIIhcXCGViMjEmhKB0xzYt58OHTpEJ//6i9cr9+zVk60QhlY/SBIfqCdfPn/h1Sjf6t8SW2BlBhocOLPGJ8ZSIhICxlIiEgLGUiISCsZSIhICUomITKy24m/evuGwzIjQ6OruTsOtbaQCIQkHd97JksabAgFgvo9vBUIikUi0QKy15Ogc4L2/YqUfzze2bdeWg0ZJJBKJRCLRJvE3HJRIJBKJRPJDI5UIiUQikUgkMSLOVmdIJJKogWNl0qQ/0UgHB162pmWcR4+hPXv2UIcOHWIlQFpC5vSpQBrn7Mxh4hctXaJKtYudjS1dunSJXCZM4Ai/WgaLB0Y7OUnHyjBIJUIiiSfat2lLQUFBHIkVyw61zLVr13izumzZslGePHlUqTbBZnbILxx4y5TRdqcKrly5TK9evaYiRYpwhF8tgz2C8M5ih9ShVlaqNHEjlQiJJJ7YsW0bzZ83P9rbyf/ooAHGyq3EAML9Y2WaVjc4CwvqL/a3gSKcGOIBJU+enGzt7Dj+hkQqERKJRCKRSGKIdKyUSCQSiUQSI6QSIZFIJBKJJEZIJUIikUgkEkmMkEqERCKRSCSSGCGVCIlEIpFIJDGA6P/7rsSGPBg++gAAAABJRU5ErkJggg==[/img][br][br]What percentage of Priya’s distance did Tyler walk? [br]
What percentage of Tyler’s distance did Priya walk? [br]
A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. Draw a tape diagram to show how many flavors have chocolate and how many don’t.
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
How many band members are sixth graders?[br]
How many band members are seventh graders?[br]
What percentage of the band members are eighth graders? Explain your reasoning.
Jada has a monthly budget for her cell phone bill. Last month she spent 120% of her budget, and the bill was $60. What is Jada’s monthly budget? Explain or show your reasoning.
Which is a better deal, 5 tickets for $12.50 or 8 tickets for $20.16? Explain your reasoning.
An athlete runs 8 miles in 50 minutes on a treadmill. At this rate:
How long will it take the athlete to run 9 miles?[br]
How far can the athlete run in 1 hour?[br]