Rachel and Raeann have $314. Tiffany and Rachel have $378. The ratio of Raeann to Tiffany is 1 : 5. How much does Rachel have?
Amount that Raeann has = 1 u
Amount that Tiffany has = 5 u
The amount that Rachel has is the repeated identity.
Rachel + 1 u = 314 --- (1)
Rachel + 5 u = 378 --- (2)
(2) - (1)
5 u - 1 u = 378 - 314
4 u = 64
1 u = 64 ÷ 4 = 16
From (1):
Rachel + 1 u = 314
Rachel + 1 x 16 = 314
Rachel + 16 = 314
Amount that Rachel has
= 314 - 16
= $298
Answer(s): $298
