Tiffany and Winnie have $329. Fanny and Tiffany have $405. The ratio of Winnie to Fanny is 3 : 7. How much does Tiffany have?
Amount that Winnie has = 3 u
Amount that Fanny has = 7 u
The amount that Tiffany has is the repeated identity.
Tiffany + 3 u = 329 --- (1)
Tiffany + 7 u = 405 --- (2)
(2) - (1)
7 u - 3 u = 405 - 329
4 u = 76
1 u = 76 ÷ 4 = 19
From (1):
Tiffany + 3 u = 329
Tiffany + 3 x 19 = 329
Tiffany + 57 = 329
Amount that Tiffany has
= 329 - 57
= $272
Answer(s): $272