Barbara and Jen have $118. Erika and Barbara have $134. The ratio of Jen to Erika is 1 : 2. How much does Barbara have?
Amount that Jen has = 1 u
Amount that Erika has = 2 u
The amount that Barbara has is the repeated identity.
Barbara + 1 u = 118 --- (1)
Barbara + 2 u = 134 --- (2)
(2) - (1)
2 u - 1 u = 134 - 118
1 u = 16
From (1):
Barbara + 1 u = 118
Barbara + 1 x 16 = 118
Barbara + 16 = 118
Amount that Barbara has
= 118 - 16
= $102
Answer(s): $102
