Gwen and Betty have $258. Barbara and Gwen have $277. The ratio of Betty to Barbara is 2 : 3. How much does Gwen have?
Amount that Betty has = 2 u
Amount that Barbara has = 3 u
The amount that Gwen has is the repeated identity.
Gwen + 2 u = 258 --- (1)
Gwen + 3 u = 277 --- (2)
(2) - (1)
3 u - 2 u = 277 - 258
1 u = 19
From (1):
Gwen + 2 u = 258
Gwen + 2 x 19 = 258
Gwen + 38 = 258
Amount that Gwen has
= 258 - 38
= $220
Answer(s): $220
