PSLE
Four girls, Marion, Gillian, Emma and Xuan raised money for a charity. Marion and Gillian raised a total of $80. Together, Gillian, Emma and Xuan raised a total of $262. The total amount of money raised by all 4 girls is 5 times the amount that Gillian raised. How much money did Emma and Xuan raise?
Amount that Gillian and Marion raised = $80
Amount that Gillian, Emma and Xuan raised = $262

Gillian is the repeated identity.

Gillian + Marion = 80 --- (1)
Gillian + Emma + Xuan = 262 --- (2)

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

(1) + (2)
(Gillian + Marion) + (Gillian + Emma + Xuan) = 80 + 262
Gillian + 4 girls = 342
1 u + 5 u = 342
6 u = 342

1 u = 342 ÷ 6 = 57

Total amount that Emma and Xuan raised
= 262 - 1 u
= 262 - 57
= $205

Answer(s): $205