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?

Respuesta :

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 [tex]x[/tex]

Money earned by Arena = [tex]2x[/tex]

Money earned by Phillip Cage = [tex]5x[/tex]

Phillip Cage played total for =  £21,000

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

[tex]2x+5x=21000\\7x=21000\\[/tex]

Dividing both sides by 7

[tex]x=3000[/tex]

Money earned by Arena = [tex]2x[/tex] = [tex]2\times3000=6000[/tex]

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