PSLE
Four girls, Julie, Vanessa, Linda and Cindy raised money for a charity. Julie and Vanessa raised a total of $85. Together, Vanessa, Linda and Cindy raised a total of $227. The total amount of money raised by all 4 girls is 5 times the amount that Vanessa raised. How much money did Vanessa raise?
Amount that Vanessa and Julie raised = $85
Amount that Vanessa, Linda and Cindy raised = $227

Vanessa is the repeated identity.

Vanessa + Julie = 85 --- (1)
Vanessa + Linda + Cindy = 227 --- (2)

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

(1) + (2)
(Vanessa + Julie) + (Vanessa + Linda + Cindy) = 85 + 227
Vanessa + 4 girls = 312
1 u + 5 u = 312
6 u = 312

1 u = 312 ÷ 6 = 52

Amount that Vanessa raised
= 1 u
= $52

Answer(s): $52