Dana and Tiffany have $271. Nicole and Dana have $307. The ratio of Tiffany to Nicole is 1 : 4. How much does Dana have?
Amount that Tiffany has = 1 u
Amount that Nicole has = 4 u
The amount that Dana has is the repeated identity.
Dana + 1 u = 271 --- (1)
Dana + 4 u = 307 --- (2)
(2) - (1)
4 u - 1 u = 307 - 271
3 u = 36
1 u = 36 ÷ 3 = 12
From (1):
Dana + 1 u = 271
Dana + 1 x 12 = 271
Dana + 12 = 271
Amount that Dana has
= 271 - 12
= $259
Answer(s): $259
