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.

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

Yes

Step-by-step explanation:

3:2 = 5 people

3:1 = 4 people

5+4=9 people