Barbara and Opal have $168. Winnie and Barbara have $201. The ratio of Opal to Winnie is 4 : 7. How much does Barbara have?
Amount that Opal has = 4 u
Amount that Winnie has = 7 u
The amount that Barbara has is the repeated identity.
Barbara + 4 u = 168 --- (1)
Barbara + 7 u = 201 --- (2)
(2) - (1)
7 u - 4 u = 201 - 168
3 u = 33
1 u = 33 ÷ 3 = 11
From (1):
Barbara + 4 u = 168
Barbara + 4 x 11 = 168
Barbara + 44 = 168
Amount that Barbara has
= 168 - 44
= $124
Answer(s): $124
