PSLE
Four girls, Xylia, Emma, Erika and Xandra raised money for a charity. Xylia and Emma raised a total of $41. Together, Emma, Erika and Xandra raised a total of $133. The total amount of money raised by all 4 girls is 5 times the amount that Emma raised. How much money did Emma raise?
Amount that Emma and Xylia raised = $41
Amount that Emma, Erika and Xandra raised = $133

Emma is the repeated identity.

Emma + Xylia = 41 --- (1)
Emma + Erika + Xandra = 133 --- (2)

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

(1) + (2)
(Emma + Xylia) + (Emma + Erika + Xandra) = 41 + 133
Emma + 4 girls = 174
1 u + 5 u = 174
6 u = 174

1 u = 174 ÷ 6 = 29

Amount that Emma raised
= 1 u
= $29

Answer(s): $29