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.