IM 6.3.16 Lesson: Finding the Percentage

Is each statement true or false?
25% of 512 is equal to [math]\frac{1}{4}⋅500[/math].
Explain your reasoning.[br][list=1][/list]
90% of 133 is equal to [math](0.9)⋅133[/math].
Explain your reasoning.[br][list=1][/list]
30% of 44 is equal to 3% of 440.
Explain your reasoning.[br][list=1][/list]
The percentage 21 is of 28 is equal to the percentage 30 is of 40.
Explain your reasoning.[br][list=1][/list]
A school held a jump-roping contest. Diego jumped rope for 20 minutes.
Jada jumped rope for 15 minutes. What percentage of Diego’s time is that?[br]
Lin jumped rope for 24 minutes. What percentage of Diego’s time is that?
Noah jumped rope for 9 minutes. What percentage of Diego’s time is that?
Record your answers from the questions above in this table. Write the quotients in the last column as decimals.
What do you notice about the numbers in the last two columns of the table?
A restaurant has a sign by the front door that says, “Maximum occupancy: 75 people.” Answer each question and explain or show your reasoning.
[br]What percentage of its capacity is 9 people?
What percentage of its capacity is 51 people?
What percentage of its capacity is 84 people?
[size=100][size=150]Water makes up about 71% of Earth’s surface, while the other 29% consists of continents and islands. 96% of all Earth’s water is contained within the oceans as salt water, while the remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.[/size][/size][br][br]If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume of salt water? What is the volume of fresh water?
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– GeoGebra Classroom Activities, IM 6 – 8 Math

Information: IM 6.3.16 Lesson: Finding the Percentage