PSLE
Four girls, Gem, Emily, Tammy and Raeann raised money for a charity. Gem and Emily raised a total of $118. Together, Emily, Tammy and Raeann raised a total of $206. The total amount of money raised by all 4 girls is 5 times the amount that Emily raised. How much money did Tammy and Raeann raise?
Amount that Emily and Gem raised = $118
Amount that Emily, Tammy and Raeann raised = $206

Emily is the repeated identity.

Emily + Gem = 118 --- (1)
Emily + Tammy + Raeann = 206 --- (2)

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

(1) + (2)
(Emily + Gem) + (Emily + Tammy + Raeann) = 118 + 206
Emily + 4 girls = 324
1 u + 5 u = 324
6 u = 324

1 u = 324 ÷ 6 = 54

Total amount that Tammy and Raeann raised
= 206 - 1 u
= 206 - 54
= $152

Answer(s): $152