Kathy and Betty have $268. Jen and Kathy have $301. The ratio of Betty to Jen is 4 : 7. How much does Kathy have?
Amount that Betty has = 4 u
Amount that Jen has = 7 u
The amount that Kathy has is the repeated identity.
Kathy + 4 u = 268 --- (1)
Kathy + 7 u = 301 --- (2)
(2) - (1)
7 u - 4 u = 301 - 268
3 u = 33
1 u = 33 ÷ 3 = 11
From (1):
Kathy + 4 u = 268
Kathy + 4 x 11 = 268
Kathy + 44 = 268
Amount that Kathy has
= 268 - 44
= $224
Answer(s): $224
