Joelle and Lucy have $164. Vanessa and Joelle have $180. The ratio of Lucy to Vanessa is 2 : 3. How much does Joelle have?
Amount that Lucy has = 2 u
Amount that Vanessa has = 3 u
The amount that Joelle has is the repeated identity.
Joelle + 2 u = 164 --- (1)
Joelle + 3 u = 180 --- (2)
(2) - (1)
3 u - 2 u = 180 - 164
1 u = 16
From (1):
Joelle + 2 u = 164
Joelle + 2 x 16 = 164
Joelle + 32 = 164
Amount that Joelle has
= 164 - 32
= $132
Answer(s): $132
