Abi and Nicole have $217. Emma and Abi have $253. The ratio of Nicole to Emma is 4 : 7. How much does Abi have?
Amount that Nicole has = 4 u
Amount that Emma has = 7 u
The amount that Abi has is the repeated identity.
Abi + 4 u = 217 --- (1)
Abi + 7 u = 253 --- (2)
(2) - (1)
7 u - 4 u = 253 - 217
3 u = 36
1 u = 36 ÷ 3 = 12
From (1):
Abi + 4 u = 217
Abi + 4 x 12 = 217
Abi + 48 = 217
Amount that Abi has
= 217 - 48
= $169
Answer(s): $169
