PSLE
Four girls, Esther, Cindy, Joelle and Hazel raised money for a charity. Esther and Cindy raised a total of $114. Together, Cindy, Joelle and Hazel raised a total of $294. The total amount of money raised by all 4 girls is 5 times the amount that Cindy raised. How much money did Esther raise?
Amount that Cindy and Esther raised = $114
Amount that Cindy, Joelle and Hazel raised = $294

Cindy is the repeated identity.

Cindy + Esther = 114 --- (1)
Cindy + Joelle + Hazel = 294 --- (2)

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

(1) + (2)
(Cindy + Esther) + (Cindy + Joelle + Hazel) = 114 + 294
Cindy + 4 girls = 408
1 u + 5 u = 408
6 u = 408

1 u = 408 ÷ 6 = 68

Amount that Esther raised
= 114 - 1 u
= 114 - 68
= $46

Answer(s): $46