At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked healthy foods. How many students preferred healthy foods?(1 point)

Question

Responses

4
4

12
12

14
14

16
16

Answer 1

To find the number of students who preferred healthy foods, we can set up a ratio.

For every 5 students, 2 said they liked healthy foods.

So for every 10 students, 4 said they liked healthy foods.

Since we are surveying 35 students, we can divide 35 by 10 to see how many groups of 10 students we have: 35 ÷ 10 = 3 with a remainder of 5.

So we have 3 groups of 10 students and 5 extra students.

In each group of 10 students, 4 said they liked healthy foods.

So in 3 groups, we have 3 × 4 = 12 students who preferred healthy foods.

And in the extra 5 students, we have 5 × 2/5 = 2 students who preferred healthy foods.

Therefore, there are a total of 12 + 2 = <<12+2=14>>14 students who preferred healthy foods. Answer: \boxed{14}.