Elyse and Joelle have $303. Emily and Elyse have $322. The ratio of Joelle to Emily is 4 : 5. How much does Elyse have?
Amount that Joelle has = 4 u
Amount that Emily has = 5 u
The amount that Elyse has is the repeated identity.
Elyse + 4 u = 303 --- (1)
Elyse + 5 u = 322 --- (2)
(2) - (1)
5 u - 4 u = 322 - 303
1 u = 19
From (1):
Elyse + 4 u = 303
Elyse + 4 x 19 = 303
Elyse + 76 = 303
Amount that Elyse has
= 303 - 76
= $227
Answer(s): $227
