If the ratio of girls on the track team to boys on the track team is 2 to 3, and there are 15 more boys than girls. How many girls and boys are on the track

Question

use tape diagram to justify your answer. write the equivalent ratios

Answer 1

Let x = the number of girls and (x + 15) = the number of boys

 

The ratio of girls to boys is 2:3, so we can set up the following equation:

 

x/(x + 15) = 2/3

 

3x = 2(x + 15) = 2x + 30

 

3x = 2x + 30

 

x = 30

 

There are 30 girls and 30 + 15 = 45 boys on the track team