PSLE
Four girls, Jane, Penelope, Ivory and Elyse raised money for a charity. Jane and Penelope raised a total of $156. Together, Penelope, Ivory and Elyse raised a total of $324. The total amount of money raised by all 4 girls is 4 times the amount that Penelope raised. How much money did Ivory and Elyse raise?
Amount that Penelope and Jane raised = $156
Amount that Penelope, Ivory and Elyse raised = $324

Penelope is the repeated identity.

Penelope + Jane = 156 --- (1)
Penelope + Ivory + Elyse = 324 --- (2)

Amount that Penelope raised = 1 u
Amount that 4 girls raised = 4 u

(1) + (2)
(Penelope + Jane) + (Penelope + Ivory + Elyse) = 156 + 324
Penelope + 4 girls = 480
1 u + 4 u = 480
5 u = 480

1 u = 480 ÷ 5 = 96

Total amount that Ivory and Elyse raised
= 324 - 1 u
= 324 - 96
= $228

Answer(s): $228