PSLE
Four girls, Dana, Diana, Zoe and Natalie raised money for a charity. Dana and Diana raised a total of $116. Together, Diana, Zoe and Natalie raised a total of $202. The total amount of money raised by all 4 girls is 5 times the amount that Diana raised. How much money did Diana raise?
Amount that Diana and Dana raised = $116
Amount that Diana, Zoe and Natalie raised = $202

Diana is the repeated identity.

Diana + Dana = 116 --- (1)
Diana + Zoe + Natalie = 202 --- (2)

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

(1) + (2)
(Diana + Dana) + (Diana + Zoe + Natalie) = 116 + 202
Diana + 4 girls = 318
1 u + 5 u = 318
6 u = 318

1 u = 318 ÷ 6 = 53

Amount that Diana raised
= 1 u
= $53

Answer(s): $53