Question

A survey found that 6 out of 8 students own a pet. If there are 320 students in a school, what is a reasonable prediction for the number of students who own a pet?

Answer 1

Answer: 240 students

Explanation:

320 ÷ 8 = 40 (40 groups of 8)

40 x 6 = 240

Answer 2

Reasonable prediction = 240 students

Explanation:

Given that:

6 out of every 8 students own a pet.

Ratio = 6 : 8

Number of students surveyed = 320

Predicted number of students who own pets = x

Ratio = x : 320

As the relationship is proportional;

6 : 8 :: x : 320

Product of mean = Product of extreme

8x = 320 * 6

8x = 1920

Dividing both sides by 8

`(8x)/(8)=(1920)/(8)\\x=240`

Hence,

Reasonable prediction = 240 students