Elyse and Hilda have $176. Jen and Elyse have $191. The ratio of Hilda to Jen is 1 : 2. How much does Elyse have?
Amount that Hilda has = 1 u
Amount that Jen has = 2 u
The amount that Elyse has is the repeated identity.
Elyse + 1 u = 176 --- (1)
Elyse + 2 u = 191 --- (2)
(2) - (1)
2 u - 1 u = 191 - 176
1 u = 15
From (1):
Elyse + 1 u = 176
Elyse + 1 x 15 = 176
Elyse + 15 = 176
Amount that Elyse has
= 176 - 15
= $161
Answer(s): $161
