Rachel and Erika have $280. Min and Rachel have $296. The ratio of Erika to Min is 4 : 5. How much does Rachel have?
Amount that Erika has = 4 u
Amount that Min has = 5 u
The amount that Rachel has is the repeated identity.
Rachel + 4 u = 280 --- (1)
Rachel + 5 u = 296 --- (2)
(2) - (1)
5 u - 4 u = 296 - 280
1 u = 16
From (1):
Rachel + 4 u = 280
Rachel + 4 x 16 = 280
Rachel + 64 = 280
Amount that Rachel has
= 280 - 64
= $216
Answer(s): $216
