Cathy and Kimberly have $299. Vanessa and Cathy have $321. The ratio of Kimberly to Vanessa is 3 : 5. How much does Cathy have?
Amount that Kimberly has = 3 u
Amount that Vanessa has = 5 u
The amount that Cathy has is the repeated identity.
Cathy + 3 u = 299 --- (1)
Cathy + 5 u = 321 --- (2)
(2) - (1)
5 u - 3 u = 321 - 299
2 u = 22
1 u = 22 ÷ 2 = 11
From (1):
Cathy + 3 u = 299
Cathy + 3 x 11 = 299
Cathy + 33 = 299
Amount that Cathy has
= 299 - 33
= $266
Answer(s): $266
