When One Route and their support act, Cinnamon Bunnies, played, £54,000 was split at a ratio of 1:3:8 between the arena, Cinnamon Bunnies and One Route.

How much money did One Route make?

Respuesta :

ratio is 1:3:8

Arena's share = 1x

Cinnamon Bunnies share = 3x

One Route share=8x

total amount =£54,000

1x+3x+8x=£54,000

12x=£54,000

x=4500

One routes share =8x = 8*4500=£36,000

Answer:

£36000 money  One Route make .

Step-by-step explanation:

As given

When One Route and their support act, Cinnamon Bunnies, played.

£54,000 was split at a ratio of 1:3:8 between the arena, Cinnamon Bunnies and One Route.

Let us assume that y be the multiple of the money  arena, Cinnamon Bunnies and One Route makes .

Thus

Arena makes = y

Cinnamon Bunnies makes = 3y

One Route makes = 8y

Equations becomes

y + 3y + 8y = 54000

12y = 54000

[tex]y = \frac{54000}{12}[/tex]

y =  £ 4500

Thus

One Route makes = 8y

Put value of the value of y in the above

One Route makes = 8 × 4500

                              =  £36000

Therefore  £36000 money  One Route make .

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