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

$x$ = $\frac{400}{12}$

15$x$ = 15 * $\frac{400}{12}$

$x$ = 500.

∴ 500 people took the survey

Answer 2

Answer:

500 people

Step-by-step 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 = $\frac{12}{15}x$ people

If the number of people selected eating at restaurant = 400

Hence, $\frac{12x}{15}$ = 400

              x = $\frac{400\times 15}{12}$

              x = $\frac{6000}{12}$

              x = 500

Total 500 people took the survey.