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

Answer:

£6000

Step-by-step 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 = $2x$ = $2\times3000=6000$

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