At a school cafeteria, a staf person surveyed the food preferences of 35 students. For every five students, two said they liked healthy foods. How many students perferred healthy foods?

12
4
14
16

To calculate the number of students who prefer healthy foods, we need to find the ratio of those students to the total number of students surveyed.

For every five students, two said they liked healthy foods. Thus, the ratio is 2 students who prefer healthy foods for every 5 students surveyed.

To find out how many students prefer healthy foods out of 35 students:

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

Therefore, 14 students preferred healthy foods.

To determine the number of students who preferred healthy foods, we need to calculate the ratio of students who said they liked healthy foods to the total number of students surveyed.

The ratio given is 2:5, which means that for every 5 students surveyed, 2 preferred healthy foods.

To calculate the number of students who preferred healthy foods, we can set up a proportion:

2/5 = x/35

To solve for x (the number of students who preferred healthy foods), we can cross multiply:

2 * 35 = 5 * x

As a result, 70 = 5x.

Now, we can isolate x by dividing both sides of the equation by 5:

70/5 = x

Hence, x = 14.

Therefore, the correct answer is 14 students preferred healthy foods.

To find the number of students who preferred healthy foods, you need to use the information given in the question. The question states that for every five students, two said they liked healthy foods.

To solve this, you can set up a proportion. Let x be the total number of students who preferred healthy foods.

So, you have the proportion:
(2 / 5) = x / 35

To find x, you can cross-multiply and then solve for x.

Cross-multiplying the proportion:
2 * 35 = 5 * x

This simplifies to:
70 = 5x

To solve for x, divide both sides of the equation by 5:
70 / 5 = x

This gives you:
14 = x

Therefore, there were 14 students who preferred healthy foods out of the 35 surveyed.