Gwen and Gem have $283. Shiyun and Gwen have $295. The ratio of Gem to Shiyun is 1 : 2. How much does Gwen have?
Amount that Gem has = 1 u
Amount that Shiyun has = 2 u
The amount that Gwen has is the repeated identity.
Gwen + 1 u = 283 --- (1)
Gwen + 2 u = 295 --- (2)
(2) - (1)
2 u - 1 u = 295 - 283
1 u = 12
From (1):
Gwen + 1 u = 283
Gwen + 1 x 12 = 283
Gwen + 12 = 283
Amount that Gwen has
= 283 - 12
= $271
Answer(s): $271
