Kathy and Jane have $308. Rachel and Kathy have $319. The ratio of Jane to Rachel is 1 : 2. How much does Kathy have?
Amount that Jane has = 1 u
Amount that Rachel has = 2 u
The amount that Kathy has is the repeated identity.
Kathy + 1 u = 308 --- (1)
Kathy + 2 u = 319 --- (2)
(2) - (1)
2 u - 1 u = 319 - 308
1 u = 11
From (1):
Kathy + 1 u = 308
Kathy + 1 x 11 = 308
Kathy + 11 = 308
Amount that Kathy has
= 308 - 11
= $297
Answer(s): $297
