Cathy and Gwen have $299. Jaslyn and Cathy have $359. The ratio of Gwen to Jaslyn is 1 : 5. How much does Cathy have?
Amount that Gwen has = 1 u
Amount that Jaslyn has = 5 u
The amount that Cathy has is the repeated identity.
Cathy + 1 u = 299 --- (1)
Cathy + 5 u = 359 --- (2)
(2) - (1)
5 u - 1 u = 359 - 299
4 u = 60
1 u = 60 ÷ 4 = 15
From (1):
Cathy + 1 u = 299
Cathy + 1 x 15 = 299
Cathy + 15 = 299
Amount that Cathy has
= 299 - 15
= $284
Answer(s): $284
