Joelle and Kathy have $261. Kimberly and Joelle have $309. The ratio of Kathy to Kimberly is 2 : 5. How much does Joelle have?
Amount that Kathy has = 2 u
Amount that Kimberly has = 5 u
The amount that Joelle has is the repeated identity.
Joelle + 2 u = 261 --- (1)
Joelle + 5 u = 309 --- (2)
(2) - (1)
5 u - 2 u = 309 - 261
3 u = 48
1 u = 48 ÷ 3 = 16
From (1):
Joelle + 2 u = 261
Joelle + 2 x 16 = 261
Joelle + 32 = 261
Amount that Joelle has
= 261 - 32
= $229
Answer(s): $229
