Question

35 girls and boys went walking. The ratio is 5 girls to every 2 boys. How many boys are there?

Answer 1

`5x-\ girls\\\\ 2x-\ boys\\\\ 5x+2x=35\\\\ 7x=35\ \ \ | divide\ by\ 7\\\\ x=5\\\\ There\ are\ 10\ boys.`

Answer 2

Set up a proportion:

In a sample of 5:2, you have 7 kids in all.

So the the ratio of boys to kids in a sample of 7 is 2:7.

So set up a proportion:

`(2)/(7)` =
`(X)/(35)`

7x =70

X = 10

Therefore, 10 of the boys went walking.