Cathy and Jen have $202. Penelope and Cathy have $242. The ratio of Jen to Penelope is 1 : 3. How much does Cathy have?
Amount that Jen has = 1 u
Amount that Penelope has = 3 u
The amount that Cathy has is the repeated identity.
Cathy + 1 u = 202 --- (1)
Cathy + 3 u = 242 --- (2)
(2) - (1)
3 u - 1 u = 242 - 202
2 u = 40
1 u = 40 ÷ 2 = 20
From (1):
Cathy + 1 u = 202
Cathy + 1 x 20 = 202
Cathy + 20 = 202
Amount that Cathy has
= 202 - 20
= $182
Answer(s): $182
