Kylie and Betty have $264. Barbara and Kylie have $278. The ratio of Betty to Barbara is 3 : 4. How much does Kylie have?
Amount that Betty has = 3 u
Amount that Barbara has = 4 u
The amount that Kylie has is the repeated identity.
Kylie + 3 u = 264 --- (1)
Kylie + 4 u = 278 --- (2)
(2) - (1)
4 u - 3 u = 278 - 264
1 u = 14
From (1):
Kylie + 3 u = 264
Kylie + 3 x 14 = 264
Kylie + 42 = 264
Amount that Kylie has
= 264 - 42
= $222
Answer(s): $222