Cindy and Linda have $288. Jean and Cindy have $364. The ratio of Linda to Jean is 3 : 7. How much does Cindy have?
Amount that Linda has = 3 u
Amount that Jean has = 7 u
The amount that Cindy has is the repeated identity.
Cindy + 3 u = 288 --- (1)
Cindy + 7 u = 364 --- (2)
(2) - (1)
7 u - 3 u = 364 - 288
4 u = 76
1 u = 76 ÷ 4 = 19
From (1):
Cindy + 3 u = 288
Cindy + 3 x 19 = 288
Cindy + 57 = 288
Amount that Cindy has
= 288 - 57
= $231
Answer(s): $231
