PSLE
Four girls, Kathy, Jade, Kylie and Yen raised money for a charity. Kathy and Jade raised a total of $79. Together, Jade, Kylie and Yen raised a total of $293. The total amount of money raised by all 4 girls is 5 times the amount that Jade raised. How much money did Kylie and Yen raise?
Amount that Jade and Kathy raised = $79
Amount that Jade, Kylie and Yen raised = $293

Jade is the repeated identity.

Jade + Kathy = 79 --- (1)
Jade + Kylie + Yen = 293 --- (2)

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

(1) + (2)
(Jade + Kathy) + (Jade + Kylie + Yen) = 79 + 293
Jade + 4 girls = 372
1 u + 5 u = 372
6 u = 372

1 u = 372 ÷ 6 = 62

Total amount that Kylie and Yen raised
= 293 - 1 u
= 293 - 62
= $231

Answer(s): $231