Marion and Jean have $231. Irene and Marion have $265. The ratio of Jean to Irene is 3 : 5. How much does Marion have?
Amount that Jean has = 3 u
Amount that Irene has = 5 u
The amount that Marion has is the repeated identity.
Marion + 3 u = 231 --- (1)
Marion + 5 u = 265 --- (2)
(2) - (1)
5 u - 3 u = 265 - 231
2 u = 34
1 u = 34 ÷ 2 = 17
From (1):
Marion + 3 u = 231
Marion + 3 x 17 = 231
Marion + 51 = 231
Amount that Marion has
= 231 - 51
= $180
Answer(s): $180
