PSLE
Four girls, Jane, Elyse, Vanessa and Opal raised money for a charity. Jane and Elyse raised a total of $89. Together, Elyse, Vanessa and Opal raised a total of $313. The total amount of money raised by all 4 girls is 5 times the amount that Elyse raised. How much money did Vanessa and Opal raise?
Amount that Elyse and Jane raised = $89
Amount that Elyse, Vanessa and Opal raised = $313

Elyse is the repeated identity.

Elyse + Jane = 89 --- (1)
Elyse + Vanessa + Opal = 313 --- (2)

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

(1) + (2)
(Elyse + Jane) + (Elyse + Vanessa + Opal) = 89 + 313
Elyse + 4 girls = 402
1 u + 5 u = 402
6 u = 402

1 u = 402 ÷ 6 = 67

Total amount that Vanessa and Opal raised
= 313 - 1 u
= 313 - 67
= $246

Answer(s): $246