Question

There are 3 boys for every 2 girls in a dance competition. Does it make sense for there to be a total of 9 people in the competition? Explain.

Answer 1

3:2=5
so girls are 2:5
set up the proportion
2/5=x/9
5x=18
x=3.6 girls; doesn’t work so no!

another way you can look at it is because there are 3 boys for every 2 girls, add 2 more girls, you’ll get 3 more boys
that makes the total of 10 people so 9 is impossible

Answer 2

Yes

Explanation:

3:2 = 5 people

3:1 = 4 people

5+4=9 people