Gillian and Nora have $328. Jean and Gillian have $382. The ratio of Nora to Jean is 2 : 5. How much does Gillian have?
Amount that Nora has = 2 u
Amount that Jean has = 5 u
The amount that Gillian has is the repeated identity.
Gillian + 2 u = 328 --- (1)
Gillian + 5 u = 382 --- (2)
(2) - (1)
5 u - 2 u = 382 - 328
3 u = 54
1 u = 54 ÷ 3 = 18
From (1):
Gillian + 2 u = 328
Gillian + 2 x 18 = 328
Gillian + 36 = 328
Amount that Gillian has
= 328 - 36
= $292
Answer(s): $292
