PSLE
Four girls, Opal, Zara, Xuan and Yoko raised money for a charity. Opal and Zara raised a total of $123. Together, Zara, Xuan and Yoko raised a total of $339. The total amount of money raised by all 4 girls is 5 times the amount that Zara raised. How much money did Xuan and Yoko raise?
Amount that Zara and Opal raised = $123
Amount that Zara, Xuan and Yoko raised = $339

Zara is the repeated identity.

Zara + Opal = 123 --- (1)
Zara + Xuan + Yoko = 339 --- (2)

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

(1) + (2)
(Zara + Opal) + (Zara + Xuan + Yoko) = 123 + 339
Zara + 4 girls = 462
1 u + 5 u = 462
6 u = 462

1 u = 462 ÷ 6 = 77

Total amount that Xuan and Yoko raised
= 339 - 1 u
= 339 - 77
= $262

Answer(s): $262