Wendy and Esther have $291. Cathy and Wendy have $306. The ratio of Esther to Cathy is 2 : 3. How much does Wendy have?
Amount that Esther has = 2 u
Amount that Cathy has = 3 u
The amount that Wendy has is the repeated identity.
Wendy + 2 u = 291 --- (1)
Wendy + 3 u = 306 --- (2)
(2) - (1)
3 u - 2 u = 306 - 291
1 u = 15
From (1):
Wendy + 2 u = 291
Wendy + 2 x 15 = 291
Wendy + 30 = 291
Amount that Wendy has
= 291 - 30
= $261
Answer(s): $261
