PSLE
Four girls, Emma, Xylia, Gem and Eva raised money for a charity. Emma and Xylia raised a total of $141. Together, Xylia, Gem and Eva raised a total of $303. The total amount of money raised by all 4 girls is 5 times the amount that Xylia raised. How much money did Emma raise?
Amount that Xylia and Emma raised = $141
Amount that Xylia, Gem and Eva raised = $303

Xylia is the repeated identity.

Xylia + Emma = 141 --- (1)
Xylia + Gem + Eva = 303 --- (2)

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

(1) + (2)
(Xylia + Emma) + (Xylia + Gem + Eva) = 141 + 303
Xylia + 4 girls = 444
1 u + 5 u = 444
6 u = 444

1 u = 444 ÷ 6 = 74

Amount that Emma raised
= 141 - 1 u
= 141 - 74
= $67

Answer(s): $67