PSLE
Four girls, Xuan, Shiyun, Winnie and Cindy raised money for a charity. Xuan and Shiyun raised a total of $88. Together, Shiyun, Winnie and Cindy raised a total of $194. The total amount of money raised by all 4 girls is 5 times the amount that Shiyun raised. How much money did Shiyun raise?
Amount that Shiyun and Xuan raised = $88
Amount that Shiyun, Winnie and Cindy raised = $194

Shiyun is the repeated identity.

Shiyun + Xuan = 88 --- (1)
Shiyun + Winnie + Cindy = 194 --- (2)

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

(1) + (2)
(Shiyun + Xuan) + (Shiyun + Winnie + Cindy) = 88 + 194
Shiyun + 4 girls = 282
1 u + 5 u = 282
6 u = 282

1 u = 282 ÷ 6 = 47

Amount that Shiyun raised
= 1 u
= $47

Answer(s): $47