PSLE
Four girls, Wendy, Jade, Gwen and Julie raised money for a charity. Wendy and Jade raised a total of $105. Together, Jade, Gwen and Julie raised a total of $365. The total amount of money raised by all 4 girls is 4 times the amount that Jade raised. How much money did Wendy raise?
Amount that Jade and Wendy raised = $105
Amount that Jade, Gwen and Julie raised = $365

Jade is the repeated identity.

Jade + Wendy = 105 --- (1)
Jade + Gwen + Julie = 365 --- (2)

Amount that Jade raised = 1 u
Amount that 4 girls raised = 4 u

(1) + (2)
(Jade + Wendy) + (Jade + Gwen + Julie) = 105 + 365
Jade + 4 girls = 470
1 u + 4 u = 470
5 u = 470

1 u = 470 ÷ 5 = 94

Amount that Wendy raised
= 105 - 1 u
= 105 - 94
= $11

Answer(s): $11