PSLE
Four girls, Fanny, Vanessa, Penelope and Shannon raised money for a charity. Fanny and Vanessa raised a total of $181. Together, Vanessa, Penelope and Shannon raised a total of $284. The total amount of money raised by all 4 girls is 4 times the amount that Vanessa raised. How much money did Penelope and Shannon raise?
Amount that Vanessa and Fanny raised = $181
Amount that Vanessa, Penelope and Shannon raised = $284

Vanessa is the repeated identity.

Vanessa + Fanny = 181 --- (1)
Vanessa + Penelope + Shannon = 284 --- (2)

Amount that Vanessa raised = 1 u
Amount that 4 girls raised = 4 u

(1) + (2)
(Vanessa + Fanny) + (Vanessa + Penelope + Shannon) = 181 + 284
Vanessa + 4 girls = 465
1 u + 4 u = 465
5 u = 465

1 u = 465 ÷ 5 = 93

Total amount that Penelope and Shannon raised
= 284 - 1 u
= 284 - 93
= $191

Answer(s): $191