PSLE
Four girls, Cindy, Zara, Jaslyn and Xuan raised money for a charity. Cindy and Zara raised a total of $101. Together, Zara, Jaslyn and Xuan raised a total of $367. The total amount of money raised by all 4 girls is 5 times the amount that Zara raised. How much money did Cindy raise?
Amount that Zara and Cindy raised = $101
Amount that Zara, Jaslyn and Xuan raised = $367

Zara is the repeated identity.

Zara + Cindy = 101 --- (1)
Zara + Jaslyn + Xuan = 367 --- (2)

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

(1) + (2)
(Zara + Cindy) + (Zara + Jaslyn + Xuan) = 101 + 367
Zara + 4 girls = 468
1 u + 5 u = 468
6 u = 468

1 u = 468 ÷ 6 = 78

Amount that Cindy raised
= 101 - 1 u
= 101 - 78
= $23

Answer(s): $23