Roshel and Pamela have $305. Penelope and Roshel have $356. The ratio of Pamela to Penelope is 4 : 7. How much does Roshel have?
Amount that Pamela has = 4 u
Amount that Penelope has = 7 u
The amount that Roshel has is the repeated identity.
Roshel + 4 u = 305 --- (1)
Roshel + 7 u = 356 --- (2)
(2) - (1)
7 u - 4 u = 356 - 305
3 u = 51
1 u = 51 ÷ 3 = 17
From (1):
Roshel + 4 u = 305
Roshel + 4 x 17 = 305
Roshel + 68 = 305
Amount that Roshel has
= 305 - 68
= $237
Answer(s): $237
