Question

When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage. How much money did the arena make from Phillip Cage's concert?

Answer 1

£6000

Explanation:

Given:

Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.

Question asked:

How much money did the arena make from Phillip Cage's concert?

Solution:

Ratio Arena and Philip cage in which money distributed = 2 : 5

Let ratio be
`x`

Money earned by Arena =
`2x`

Money earned by Phillip Cage =
`5x`

Phillip Cage played total for = £21,000

Money earned by Arena + Money earned by Phillip Cage = £21,000

`2x+5x=21000\\7x=21000\\`

Dividing both sides by 7

`x=3000`

Money earned by Arena =
`2x` =
`2*3000=6000`

Thus, Arena made £6000 from Phillip Cage's concert.