Irene and Emma have $231. Gillian and Irene have $295. The ratio of Emma to Gillian is 1 : 5. How much does Irene have?
Amount that Emma has = 1 u
Amount that Gillian has = 5 u
The amount that Irene has is the repeated identity.
Irene + 1 u = 231 --- (1)
Irene + 5 u = 295 --- (2)
(2) - (1)
5 u - 1 u = 295 - 231
4 u = 64
1 u = 64 ÷ 4 = 16
From (1):
Irene + 1 u = 231
Irene + 1 x 16 = 231
Irene + 16 = 231
Amount that Irene has
= 231 - 16
= $215
Answer(s): $215
