PSLE
Four girls, Victoria, Natalie, Fiona and Vanessa raised money for a charity. Victoria and Natalie raised a total of $98. Together, Natalie, Fiona and Vanessa raised a total of $130. The total amount of money raised by all 4 girls is 5 times the amount that Natalie raised. How much money did Natalie raise?
Amount that Natalie and Victoria raised = $98
Amount that Natalie, Fiona and Vanessa raised = $130

Natalie is the repeated identity.

Natalie + Victoria = 98 --- (1)
Natalie + Fiona + Vanessa = 130 --- (2)

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

(1) + (2)
(Natalie + Victoria) + (Natalie + Fiona + Vanessa) = 98 + 130
Natalie + 4 girls = 228
1 u + 5 u = 228
6 u = 228

1 u = 228 ÷ 6 = 38

Amount that Natalie raised
= 1 u
= $38

Answer(s): $38