Tiffany and Nora have $150. Zoe and Tiffany have $160. The ratio of Nora to Zoe is 3 : 4. How much does Tiffany have?
Amount that Nora has = 3 u
Amount that Zoe has = 4 u
The amount that Tiffany has is the repeated identity.
Tiffany + 3 u = 150 --- (1)
Tiffany + 4 u = 160 --- (2)
(2) - (1)
4 u - 3 u = 160 - 150
1 u = 10
From (1):
Tiffany + 3 u = 150
Tiffany + 3 x 10 = 150
Tiffany + 30 = 150
Amount that Tiffany has
= 150 - 30
= $120
Answer(s): $120
