PSLE
Four girls, Emma, Kimberly, Abi and Nora raised money for a charity. Emma and Kimberly raised a total of $130. Together, Kimberly, Abi and Nora raised a total of $146. The total amount of money raised by all 4 girls is 3 times the amount that Kimberly raised. How much money did Emma raise?
Amount that Kimberly and Emma raised = $130
Amount that Kimberly, Abi and Nora raised = $146

Kimberly is the repeated identity.

Kimberly + Emma = 130 --- (1)
Kimberly + Abi + Nora = 146 --- (2)

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

(1) + (2)
(Kimberly + Emma) + (Kimberly + Abi + Nora) = 130 + 146
Kimberly + 4 girls = 276
1 u + 3 u = 276
4 u = 276

1 u = 276 ÷ 4 = 69

Amount that Emma raised
= 130 - 1 u
= 130 - 69
= $61

Answer(s): $61