PSLE
Four girls, Gabby, Yen, Erika and Ivory raised money for a charity. Gabby and Yen raised a total of $119. Together, Yen, Erika and Ivory raised a total of $295. The total amount of money raised by all 4 girls is 5 times the amount that Yen raised. How much money did Erika and Ivory raise?
Amount that Yen and Gabby raised = $119
Amount that Yen, Erika and Ivory raised = $295

Yen is the repeated identity.

Yen + Gabby = 119 --- (1)
Yen + Erika + Ivory = 295 --- (2)

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

(1) + (2)
(Yen + Gabby) + (Yen + Erika + Ivory) = 119 + 295
Yen + 4 girls = 414
1 u + 5 u = 414
6 u = 414

1 u = 414 ÷ 6 = 69

Total amount that Erika and Ivory raised
= 295 - 1 u
= 295 - 69
= $226

Answer(s): $226