Dana and Winnie have $260. Elyse and Dana have $278. The ratio of Winnie to Elyse is 1 : 2. How much does Dana have?
Amount that Winnie has = 1 u
Amount that Elyse has = 2 u
The amount that Dana has is the repeated identity.
Dana + 1 u = 260 --- (1)
Dana + 2 u = 278 --- (2)
(2) - (1)
2 u - 1 u = 278 - 260
1 u = 18
From (1):
Dana + 1 u = 260
Dana + 1 x 18 = 260
Dana + 18 = 260
Amount that Dana has
= 260 - 18
= $242
Answer(s): $242
