Question

The ratio of boys to girls in the summer camp is 13:10. There are 120 more boys than girls. How many boys are in this camp?

Answer 1

520 boys (along with 400 girls)

Explanation:

Let B be the number of boys and G be the number of girls

We know that the ratio of boys to girls is 13:10, so this can be represented as B/G=13/10

We know that there are 120 more boys than girls, so the number of boys can be represented as B=120+G.

Since the second equation is already solved for B, the number of boys, we can substitute this value in the first equation and solve for G, the number of girls:

B/G=13/10

(120+G)/G=13/10

10(120+G)=13G

1200+10G=13G

1200=3G

400=G

Now that we know there are 400 girls in the camp, we can substitute this value into the second equation and get B, the number of boys:

B=120+G

B=120+400

B=520

Therefore, there were 520 boys at the camp.