PSLE
Four girls, Nora, Emily, Anna and Zoe raised money for a charity. Nora and Emily raised a total of $164. Together, Emily, Anna and Zoe raised a total of $224. The total amount of money raised by all 4 girls is 3 times the amount that Emily raised. How much money did Emily raise?
Amount that Emily and Nora raised = $164
Amount that Emily, Anna and Zoe raised = $224

Emily is the repeated identity.

Emily + Nora = 164 --- (1)
Emily + Anna + Zoe = 224 --- (2)

Amount that Emily raised = 1 u
Amount that 4 girls raised = 3 u

(1) + (2)
(Emily + Nora) + (Emily + Anna + Zoe) = 164 + 224
Emily + 4 girls = 388
1 u + 3 u = 388
4 u = 388

1 u = 388 ÷ 4 = 97

Amount that Emily raised
= 1 u
= $97

Answer(s): $97