At a school cafeteria, a staff person surveyed the food preferences of 35 students. For every five students, two said they liked liked heathy food. How many students preferred heathy foods.

(2/5)35 = 2 * 7 = 14

10 students preferred healthy foods.

To determine the number of students who preferred healthy food, you need to find the ratio of students who liked healthy food to the total number of students surveyed.

Since every 5 students, 2 liked healthy food, the ratio can be written as 2:5.

To find the number of students who preferred healthy food, you can set up a proportion:

2/5 = x/35

To solve for x, you can cross-multiply:

2 * 35 = 5 * x

70 = 5x

To isolate x, divide both sides of the equation by 5:

70/5 = x

x = 14

Therefore, 14 students preferred healthy food.

To solve this problem, we need to determine the number of students who prefer healthy food based on the given information.

We are told that for every five students, two said they liked healthy food. This implies that the ratio of students who like healthy food to the total number of students is 2:5.

To find the number of students who prefer healthy food, we can set up a proportion based on this ratio:

(Number of students who like healthy food) / (Total number of students) = 2 / 5

Let's represent the number of students who like healthy food as "x". Thus, the total number of students will be 35.

x / 35 = 2 / 5

To solve for x, we can cross multiply:

5x = 2 * 35

5x = 70

Next, divide both sides of the equation by 5 to isolate x:

x = 70 / 5

x = 14

Therefore, 14 students preferred healthy foods.