Dana and Victoria have $292. Winnie and Dana have $343. The ratio of Victoria to Winnie is 2 : 5. How much does Dana have?
Amount that Victoria has = 2 u
Amount that Winnie has = 5 u
The amount that Dana has is the repeated identity.
Dana + 2 u = 292 --- (1)
Dana + 5 u = 343 --- (2)
(2) - (1)
5 u - 2 u = 343 - 292
3 u = 51
1 u = 51 ÷ 3 = 17
From (1):
Dana + 2 u = 292
Dana + 2 x 17 = 292
Dana + 34 = 292
Amount that Dana has
= 292 - 34
= $258
Answer(s): $258
