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 14, 16, 12, 4

To find out how many students preferred healthy foods, we can use proportions.

First, we need to find the ratio of students who liked healthy foods to the total number of students surveyed.
For every 5 students, 2 said they liked healthy foods.
So, the ratio is 2/5.
Since we know that the total number of students surveyed is 35, we can set up a proportion:
2/5 = x/35
To solve for x, we cross-multiply:
5x = 2 * 35
5x = 70
x = 70/5
x = 14
Therefore, 14 students preferred healthy foods.