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

First we simplify 12 out of every 15 people:
`(12)/(15)}: (3)/(3)= (4)/(5)}`.
`(4)/(5)}= (400)/(x)= (4*100)/(5*100)= (400)/(500)}`. Now we do this:
`(30)/(2hours)= (30:2)/(2:2)= (15)/(1hour)`. Therefore, she charges $15 per hour, but for 5 hours it would be $75 because $15*5=$75. But, your answer is 500 people took the survey. Hoped I helped. :)

Answer 2

500 people took the survey.

12 out of 15 people is 80% of the population. 12/15 = 0.80
Thus, 80% of the population prefers eating in the restaurant.

If 400 represents the people who prefers eating in the restaurant; then, 400 is the 80% of the population. To get the total population or 100%, we must divide 400 by 0.80 or 80%

400 / 0.80 = 500 people.

Out of the 500 people, 400 selected eating in the restaurant while the remaining 20% of the population or 100 people selected cooking at home.