Question

A survey found that 12 out of every 15 people in the United States

prefer eating at a restaurant over cooking at home. If 400 people
selected eating at a restaurant on the survey, how many people
took the survey?

Answer 1

If 12 out of every 15 people prefer eating at a restaurant, then 12/15 of the people who took the survey chose that option. We know that 12/15 of the total number of people who took the survey is equal to 400 people, so we can set up the equation:

(12/15)x = 400

To find the total number of people who took the survey, we can solve for x by multiplying both sides of the equation by 15/12:

x = (400)(15/12)

x = 500

So, 500 people took the survey.