Marion and Tina have $186. Dana and Marion have $198. The ratio of Tina to Dana is 2 : 3. How much does Marion have?
Amount that Tina has = 2 u
Amount that Dana has = 3 u
The amount that Marion has is the repeated identity.
Marion + 2 u = 186 --- (1)
Marion + 3 u = 198 --- (2)
(2) - (1)
3 u - 2 u = 198 - 186
1 u = 12
From (1):
Marion + 2 u = 186
Marion + 2 x 12 = 186
Marion + 24 = 186
Amount that Marion has
= 186 - 24
= $162
Answer(s): $162
