Esther and Cindy have $162. Gillian and Esther have $190. The ratio of Cindy to Gillian is 3 : 5. How much does Esther have?
Amount that Cindy has = 3 u
Amount that Gillian has = 5 u
The amount that Esther has is the repeated identity.
Esther + 3 u = 162 --- (1)
Esther + 5 u = 190 --- (2)
(2) - (1)
5 u - 3 u = 190 - 162
2 u = 28
1 u = 28 ÷ 2 = 14
From (1):
Esther + 3 u = 162
Esther + 3 x 14 = 162
Esther + 42 = 162
Amount that Esther has
= 162 - 42
= $120
Answer(s): $120
