Jane and Jade have $197. Emily and Jane have $215. The ratio of Jade to Emily is 2 : 3. How much does Jane have?
Amount that Jade has = 2 u
Amount that Emily has = 3 u
The amount that Jane has is the repeated identity.
Jane + 2 u = 197 --- (1)
Jane + 3 u = 215 --- (2)
(2) - (1)
3 u - 2 u = 215 - 197
1 u = 18
From (1):
Jane + 2 u = 197
Jane + 2 x 18 = 197
Jane + 36 = 197
Amount that Jane has
= 197 - 36
= $161
Answer(s): $161