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
4
4
12
12
14
14
16
16
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}.