Question

Phoebe, Andy and Polly share £270

Phoebe gets three times as much as Andy who gets twice as much as Polly.
Work out how much they each get.​

Answer 1

Explanation:

Givens

Let Phoebe = P

Let Andy = A

Let Polly = Po

Total = 270

Equations

P = 3*A

A = 2*Po

P + A + Po = 270

Solution

P + 2Po + Po = 270

P = 3*A But A = 2Po. Substitue 2Po for A

P = 3(2*Po) Combine the right

P = 6Po Substitute 6Po for P

6Po + 2Po + Po = 270 Combine the left

9*Po = 270 Divide by 9

9Po/9 = 270/9 Do the division

Po = 30

==========================

A = 2*Po = 2* 30 = 60

A = 60

==========================

P = 3*A

P = 3*60

P = 180

Answer

Phoebe gets 180

Andy gets 60

Polly gets 30