PSLE
Four girls, Shannon, Cindy, Zara and Natalie raised money for a charity. Shannon and Cindy raised a total of $117. Together, Cindy, Zara and Natalie raised a total of $348. The total amount of money raised by all 4 girls is 4 times the amount that Cindy raised. How much money did Cindy raise?
Amount that Cindy and Shannon raised = $117
Amount that Cindy, Zara and Natalie raised = $348

Cindy is the repeated identity.

Cindy + Shannon = 117 --- (1)
Cindy + Zara + Natalie = 348 --- (2)

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

(1) + (2)
(Cindy + Shannon) + (Cindy + Zara + Natalie) = 117 + 348
Cindy + 4 girls = 465
1 u + 4 u = 465
5 u = 465

1 u = 465 ÷ 5 = 93

Amount that Cindy raised
= 1 u
= $93

Answer(s): $93