Phoebe, andy and polly share £270phoebe gets three times as much as andy who gets twice as much as polly. work out how much they each get.

Step-by-step 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