Shannon and Xylia have $311. Shiyun and Shannon have $379. The ratio of Xylia to Shiyun is 3 : 7. How much does Shannon have?
Amount that Xylia has = 3 u
Amount that Shiyun has = 7 u
The amount that Shannon has is the repeated identity.
Shannon + 3 u = 311 --- (1)
Shannon + 7 u = 379 --- (2)
(2) - (1)
7 u - 3 u = 379 - 311
4 u = 68
1 u = 68 ÷ 4 = 17
From (1):
Shannon + 3 u = 311
Shannon + 3 x 17 = 311
Shannon + 51 = 311
Amount that Shannon has
= 311 - 51
= $260
Answer(s): $260
