Emma and Jean have $220. Lynn and Emma have $231. The ratio of Jean to Lynn is 1 : 2. How much does Emma have?
Amount that Jean has = 1 u
Amount that Lynn has = 2 u
The amount that Emma has is the repeated identity.
Emma + 1 u = 220 --- (1)
Emma + 2 u = 231 --- (2)
(2) - (1)
2 u - 1 u = 231 - 220
1 u = 11
From (1):
Emma + 1 u = 220
Emma + 1 x 11 = 220
Emma + 11 = 220
Amount that Emma has
= 220 - 11
= $209
Answer(s): $209
