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 restaurant on the survey how many people took the survey?

Answer 1

12
`x` = 400

`x` =
`(400)/(12)`

15
`x` = 15 *
`(400)/(12)`

`x` = 500.

∴ 500 people took the survey

Answer 2

500 people

Explanation:

Let the total number of people took the survey = x

Since 12 out of every 15 people prefer eating at a restaurant.

Therefore, fraction of total person surveyed who preferred eating at restaurant =
`(12)/(15)x` people

If the number of people selected eating at restaurant = 400

Hence,
`(12x)/(15)` = 400

x =
`(400* 15)/(12)`

x =
`(6000)/(12)`

x = 500

Total 500 people took the survey.