PSLE
Four girls, Barbara, Jaslyn, Risa and Joelle raised money for a charity. Barbara and Jaslyn raised a total of $159. Together, Jaslyn, Risa and Joelle raised a total of $213. The total amount of money raised by all 4 girls is 5 times the amount that Jaslyn raised. How much money did Barbara raise?
Amount that Jaslyn and Barbara raised = $159
Amount that Jaslyn, Risa and Joelle raised = $213

Jaslyn is the repeated identity.

Jaslyn + Barbara = 159 --- (1)
Jaslyn + Risa + Joelle = 213 --- (2)

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

(1) + (2)
(Jaslyn + Barbara) + (Jaslyn + Risa + Joelle) = 159 + 213
Jaslyn + 4 girls = 372
1 u + 5 u = 372
6 u = 372

1 u = 372 ÷ 6 = 62

Amount that Barbara raised
= 159 - 1 u
= 159 - 62
= $97

Answer(s): $97