Abi and Anna have $272. Elyse and Abi have $306. The ratio of Anna to Elyse is 3 : 5. How much does Abi have?
Amount that Anna has = 3 u
Amount that Elyse has = 5 u
The amount that Abi has is the repeated identity.
Abi + 3 u = 272 --- (1)
Abi + 5 u = 306 --- (2)
(2) - (1)
5 u - 3 u = 306 - 272
2 u = 34
1 u = 34 ÷ 2 = 17
From (1):
Abi + 3 u = 272
Abi + 3 x 17 = 272
Abi + 51 = 272
Amount that Abi has
= 272 - 51
= $221
Answer(s): $221
