Elyse and Jade have $230. Linda and Elyse have $260. The ratio of Jade to Linda is 1 : 4. How much does Elyse have?
Amount that Jade has = 1 u
Amount that Linda has = 4 u
The amount that Elyse has is the repeated identity.
Elyse + 1 u = 230 --- (1)
Elyse + 4 u = 260 --- (2)
(2) - (1)
4 u - 1 u = 260 - 230
3 u = 30
1 u = 30 ÷ 3 = 10
From (1):
Elyse + 1 u = 230
Elyse + 1 x 10 = 230
Elyse + 10 = 230
Amount that Elyse has
= 230 - 10
= $220
Answer(s): $220
