Question

A soccer team has 12 girls and 18 boys. The team is split into groups that have the same ratio of girls to boys as that of the whole team. How many girls are in a group that has 12 boys?

Answer 1

Answer: 8 girls

Step-by-step explanation:

The team is split into groups that have the same ratio as the whole team.

This means that every group must obey this ratio:

12 girls  :   18 boys

At the lowest form (dividing both sides by 6), the ratio is:

2    :    3

Every group must therefore be in a ratio of; 2 : 3.

In a team group that has 12 boys, the number of girls is:

2    :    3

x    :    12

3x = 24

x = 24 / 3

x = 8 girls