Barbara and Jaslyn have $125. Risa and Barbara have $197. The ratio of Jaslyn to Risa is 1 : 5. How much does Barbara have?
Amount that Jaslyn has = 1 u
Amount that Risa has = 5 u
The amount that Barbara has is the repeated identity.
Barbara + 1 u = 125 --- (1)
Barbara + 5 u = 197 --- (2)
(2) - (1)
5 u - 1 u = 197 - 125
4 u = 72
1 u = 72 ÷ 4 = 18
From (1):
Barbara + 1 u = 125
Barbara + 1 x 18 = 125
Barbara + 18 = 125
Amount that Barbara has
= 125 - 18
= $107
Answer(s): $107
