Victoria and Gem have $179. Gwen and Victoria have $198. The ratio of Gem to Gwen is 2 : 3. How much does Victoria have?
Amount that Gem has = 2 u
Amount that Gwen has = 3 u
The amount that Victoria has is the repeated identity.
Victoria + 2 u = 179 --- (1)
Victoria + 3 u = 198 --- (2)
(2) - (1)
3 u - 2 u = 198 - 179
1 u = 19
From (1):
Victoria + 2 u = 179
Victoria + 2 x 19 = 179
Victoria + 38 = 179
Amount that Victoria has
= 179 - 38
= $141
Answer(s): $141
