PSLE
Four girls, Vanessa, Xandra, Xuan and Olivia raised money for a charity. Vanessa and Xandra raised a total of $156. Together, Xandra, Xuan and Olivia raised a total of $360. The total amount of money raised by all 4 girls is 5 times the amount that Xandra raised. How much money did Xandra raise?
Amount that Xandra and Vanessa raised = $156
Amount that Xandra, Xuan and Olivia raised = $360

Xandra is the repeated identity.

Xandra + Vanessa = 156 --- (1)
Xandra + Xuan + Olivia = 360 --- (2)

Amount that Xandra raised = 1 u
Amount that 4 girls raised = 5 u

(1) + (2)
(Xandra + Vanessa) + (Xandra + Xuan + Olivia) = 156 + 360
Xandra + 4 girls = 516
1 u + 5 u = 516
6 u = 516

1 u = 516 ÷ 6 = 86

Amount that Xandra raised
= 1 u
= $86

Answer(s): $86