Irene and Gabby have $238. Tammy and Irene have $264. The ratio of Gabby to Tammy is 3 : 5. How much does Irene have?
Amount that Gabby has = 3 u
Amount that Tammy has = 5 u
The amount that Irene has is the repeated identity.
Irene + 3 u = 238 --- (1)
Irene + 5 u = 264 --- (2)
(2) - (1)
5 u - 3 u = 264 - 238
2 u = 26
1 u = 26 ÷ 2 = 13
From (1):
Irene + 3 u = 238
Irene + 3 x 13 = 238
Irene + 39 = 238
Amount that Irene has
= 238 - 39
= $199
Answer(s): $199
