Question

A band earns $\frac{2}{3}$ 2 3​​ of their profit from selling concert tickets and 1 fifth$\frac{1}{5}$ 1 5​​ of their profit from selling merchandise. The band earns $1500 from selling concert tickets. How much money does the band earn from selling merchandise?

Answer 1

$450

Explanation:

Let the total profit earned be
`x`.

Profit earned from selling concert tickets =
`(2)/(3)* x`

`1500 = (2)/(3) x`

`x = (3)/(2)* 1500 = 2250`

Profit earned from selling merchandise =
`(1)/(5)* x = (1)/(5)* 2250 = 450`