PSLE
Four girls, Wendy, Julie, Zoe and Gwen raised money for a charity. Wendy and Julie raised a total of $84. Together, Julie, Zoe and Gwen raised a total of $312. The total amount of money raised by all 4 girls is 5 times the amount that Julie raised. How much money did Julie raise?
Amount that Julie and Wendy raised = $84
Amount that Julie, Zoe and Gwen raised = $312

Julie is the repeated identity.

Julie + Wendy = 84 --- (1)
Julie + Zoe + Gwen = 312 --- (2)

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

(1) + (2)
(Julie + Wendy) + (Julie + Zoe + Gwen) = 84 + 312
Julie + 4 girls = 396
1 u + 5 u = 396
6 u = 396

1 u = 396 ÷ 6 = 66

Amount that Julie raised
= 1 u
= $66

Answer(s): $66