Gwen and Wendy have $196. Tina and Gwen have $213. The ratio of Wendy to Tina is 2 : 3. How much does Gwen have?
Amount that Wendy has = 2 u
Amount that Tina has = 3 u
The amount that Gwen has is the repeated identity.
Gwen + 2 u = 196 --- (1)
Gwen + 3 u = 213 --- (2)
(2) - (1)
3 u - 2 u = 213 - 196
1 u = 17
From (1):
Gwen + 2 u = 196
Gwen + 2 x 17 = 196
Gwen + 34 = 196
Amount that Gwen has
= 196 - 34
= $162
Answer(s): $162
