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[/img]
The temperature was very cold. Then the temperature doubled.[br]Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
Lin ran twice as far as Diego. Diego ran 300 m farther than Jada. Jada ran [math]\frac{1}{3}[/math] the distance that Noah ran. Noah ran 1200 m. How far did Lin run?
In this separate space below, write a solution to your puzzle.
With your partner, compare your solutions to each puzzle. Did they solve them the same way you did? Be prepared to share with the class which solution strategy you like best.
[list=1][*]Think of a number.[/*][*]Double the number.[/*][*]Add 9.[/*][*]Subtract 3.[/*][*]Divide by 2.[/*][*]Subtract the number you started with.[/*][*]The answer should be 3.[/*][/list][color=#0c0300][br][/color]Why does this always work?
Can you think of a different number puzzle that uses math (like this one) that will always result in 5?