Question

band members make 2/3 of their profit selling concert tickets they make one-fifth of their profits selling Band merchandise at concerts how many times more do they make from ticket sales then from merchandise sales

Answer 1

(2/3) / (1/5) = (10/3) = about 3.333 times more

Answer 2

The band made
`(10)/(3)` times more from ticket sales then from the merchandise sales.

Explanation:

Let the profit be be p

Amount gained by selling concert tickets ,a=
`(2)/(3)` of profit:

`(2)/(3)p`

Amount gained by selling Band merchandise,a' =
`(1)/(5)` of profit:

`(1)/(5)p`

Ratio of amount gained by selling tickets to amount gained by selling merchandise.

`(a)/(a')=((2)/(3)p)/((1)/(5)p)=(10)/(3)`

`a=(10)/(3)* a'`

Amount gained by selling tickets=
`(10)/(3)` amount gained by selling merchandise

The band made
`(10)/(3)` times more from ticket sales then from the merchandise sales.