Jean and Jade have $259. Gillian and Jean have $301. The ratio of Jade to Gillian is 4 : 7. How much does Jean have?
Amount that Jade has = 4 u
Amount that Gillian has = 7 u
The amount that Jean has is the repeated identity.
Jean + 4 u = 259 --- (1)
Jean + 7 u = 301 --- (2)
(2) - (1)
7 u - 4 u = 301 - 259
3 u = 42
1 u = 42 ÷ 3 = 14
From (1):
Jean + 4 u = 259
Jean + 4 x 14 = 259
Jean + 56 = 259
Amount that Jean has
= 259 - 56
= $203
Answer(s): $203
