PSLE
Four girls, Jean, Rachel, Vanessa and Barbara raised money for a charity. Jean and Rachel raised a total of $135. Together, Rachel, Vanessa and Barbara raised a total of $153. The total amount of money raised by all 4 girls is 5 times the amount that Rachel raised. How much money did Rachel raise?
Amount that Rachel and Jean raised = $135
Amount that Rachel, Vanessa and Barbara raised = $153

Rachel is the repeated identity.

Rachel + Jean = 135 --- (1)
Rachel + Vanessa + Barbara = 153 --- (2)

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

(1) + (2)
(Rachel + Jean) + (Rachel + Vanessa + Barbara) = 135 + 153
Rachel + 4 girls = 288
1 u + 5 u = 288
6 u = 288

1 u = 288 ÷ 6 = 48

Amount that Rachel raised
= 1 u
= $48

Answer(s): $48