Cathy and Hazel have $156. Kimberly and Cathy have $175. The ratio of Hazel to Kimberly is 2 : 3. How much does Cathy have?
Amount that Hazel has = 2 u
Amount that Kimberly has = 3 u
The amount that Cathy has is the repeated identity.
Cathy + 2 u = 156 --- (1)
Cathy + 3 u = 175 --- (2)
(2) - (1)
3 u - 2 u = 175 - 156
1 u = 19
From (1):
Cathy + 2 u = 156
Cathy + 2 x 19 = 156
Cathy + 38 = 156
Amount that Cathy has
= 156 - 38
= $118
Answer(s): $118
