Question

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)
Responses

16
16

14
14

12
12

4

1 answer

To find the number of students who preferred healthy foods, we can use the ratio given in the problem. For every five students, two liked healthy foods.

First, let's determine how many groups of five students are in the 35 students surveyed:

\[ \frac{35}{5} = 7 \]

Since there are 7 groups of 5 students, we can find the number of students who prefer healthy foods by calculating \(2\) (the number who preferred healthy foods in each group) times \(7\):

\[ 2 \times 7 = 14 \]

Therefore, the number of students who preferred healthy foods is 14.