Question

n a survey, 480 people, or 75%, said they attended a movie at least once a month. How many people were surveyed

Answer 1

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.

$\dfrac{0.75x}{0.75} = \dfrac{480}{0.75}$

$x = 640$

Answer: 640 people were surveyed.

Answer 2

Answer:

 640 people

Explanation:

480 people = 75 %
x people = 100%

480 : x = 75 : 100
75 x = 48,000
x = 48,000 : 75
x = 640