Gwen and Sarah have $283. Victoria and Gwen have $299. The ratio of Sarah to Victoria is 3 : 4. How much does Gwen have?
Amount that Sarah has = 3 u
Amount that Victoria has = 4 u
The amount that Gwen has is the repeated identity.
Gwen + 3 u = 283 --- (1)
Gwen + 4 u = 299 --- (2)
(2) - (1)
4 u - 3 u = 299 - 283
1 u = 16
From (1):
Gwen + 3 u = 283
Gwen + 3 x 16 = 283
Gwen + 48 = 283
Amount that Gwen has
= 283 - 48
= $235
Answer(s): $235
