PSLE
Four girls, Tiffany, Marion, Zoe and Pamela raised money for a charity. Tiffany and Marion raised a total of $114. Together, Marion, Zoe and Pamela raised a total of $450. 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 Tiffany raised = $114
Amount that Marion, Zoe and Pamela raised = $450

Marion is the repeated identity.

Marion + Tiffany = 114 --- (1)
Marion + Zoe + Pamela = 450 --- (2)

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

(1) + (2)
(Marion + Tiffany) + (Marion + Zoe + Pamela) = 114 + 450
Marion + 4 girls = 564
1 u + 5 u = 564
6 u = 564

1 u = 564 ÷ 6 = 94

Amount that Marion raised
= 1 u
= $94

Answer(s): $94