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