Question

For PE Mr Jones wants to split boys and girls equally into as many mixed groups as possible. There are 168 boys and 60 girls. How many groups can be made? How many boys and girls are in each group?

PLEASE HELLPPPPP

Answer 1

12

Explanation:

You need the greatest common factor of 168 and 60.

168 = 2^3 * 3 * 7

60 = 2^2 * 3 * 5

For the GCF, you need common factors with the lower exponent.

Between 2^3 and 2^2, choose 2^2.

Then you have 3 as a common factor.

5 and seven are not common.

GCF = 2^2 * 3 = 12

Answer: 12