Elyse and Betty have $248. Abi and Elyse have $264. The ratio of Betty to Abi is 4 : 5. How much does Elyse have?
Amount that Betty has = 4 u
Amount that Abi has = 5 u
The amount that Elyse has is the repeated identity.
Elyse + 4 u = 248 --- (1)
Elyse + 5 u = 264 --- (2)
(2) - (1)
5 u - 4 u = 264 - 248
1 u = 16
From (1):
Elyse + 4 u = 248
Elyse + 4 x 16 = 248
Elyse + 64 = 248
Amount that Elyse has
= 248 - 64
= $184
Answer(s): $184
