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
12
12
14
14
4
4
To find out how many students preferred healthy foods, we need to determine 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. We can represent this ratio as 2:5.
To find out the total number of students who preferred healthy foods, we can proportionally scale up the ratio.
If 2 out of 5 students liked healthy foods, then 4 out of 10 students would like healthy foods. Similarly, 6 out of 15 students and 8 out of 20 students would like healthy foods.
However, we have a total of 35 students surveyed, so we need to scale up the ratio further.
If 8 out of 20 students liked healthy foods, then we can calculate how many students would like healthy foods out of 35 by finding a factor to multiply 20 by in order to get 35.
35 divided by 20 is 1.75, so we can multiply the number of students in the ratio by 1.75 to scale it up.
8 (number of students who liked healthy foods) multiplied by 1.75 equals 14.
Therefore, 14 students preferred healthy foods out of the 35 students surveyed.