PSLE
Four girls, Min, Barbara, Sarah and Opal raised money for a charity. Min and Barbara raised a total of $166. Together, Barbara, Sarah and Opal raised a total of $314. The total amount of money raised by all 4 girls is 5 times the amount that Barbara raised. How much money did Sarah and Opal raise?
Amount that Barbara and Min raised = $166
Amount that Barbara, Sarah and Opal raised = $314

Barbara is the repeated identity.

Barbara + Min = 166 --- (1)
Barbara + Sarah + Opal = 314 --- (2)

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

(1) + (2)
(Barbara + Min) + (Barbara + Sarah + Opal) = 166 + 314
Barbara + 4 girls = 480
1 u + 5 u = 480
6 u = 480

1 u = 480 ÷ 6 = 80

Total amount that Sarah and Opal raised
= 314 - 1 u
= 314 - 80
= $234

Answer(s): $234