PSLE
Four girls, Jade, Marion, Dana and Zara raised money for a charity. Jade and Marion raised a total of $147. Together, Marion, Dana and Zara raised a total of $261. The total amount of money raised by all 4 girls is 5 times the amount that Marion raised. How much money did Marion raise?
Amount that Marion and Jade raised = $147
Amount that Marion, Dana and Zara raised = $261

Marion is the repeated identity.

Marion + Jade = 147 --- (1)
Marion + Dana + Zara = 261 --- (2)

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

(1) + (2)
(Marion + Jade) + (Marion + Dana + Zara) = 147 + 261
Marion + 4 girls = 408
1 u + 5 u = 408
6 u = 408

1 u = 408 ÷ 6 = 68

Amount that Marion raised
= 1 u
= $68

Answer(s): $68