n a survey, 480 people, or 75%, said they attended a movie at least once a month. How many people were surveyed
2 answers:
75% of an unknown number of people is 480 people.
We translate this sentence into an equation and we solve the equation.
Let x = number of people who were surveyed.
75% of x = 480
75% * x = 480
0.75x = 480
x is being multiplied by 0.75. We want x alone, so we divide 0.75x by 0.75 to get x alone. Since we must do the same to both sides of an equation, we divide both sides of the equation by 0.75.
Answer: 640 people were surveyed.
We translate this sentence into an equation and we solve the equation.
Let x = number of people who were surveyed.
75% of x = 480
75% * x = 480
0.75x = 480
x is being multiplied by 0.75. We want x alone, so we divide 0.75x by 0.75 to get x alone. Since we must do the same to both sides of an equation, we divide both sides of the equation by 0.75.
Answer: 640 people were surveyed.
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Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17feet high.
Calculations
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5x = 2 x 13
Divide by 5 to isolate x
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Calculations
Cross multiplication
5x = 2 x 13
Divide by 5 to isolate x
x = 10.2
Answer = 10.2