Shiyun and Jane have $155. Kylie and Shiyun have $215. The ratio of Jane to Kylie is 1 : 5. How much does Shiyun have?
Amount that Jane has = 1 u
Amount that Kylie has = 5 u
The amount that Shiyun has is the repeated identity.
Shiyun + 1 u = 155 --- (1)
Shiyun + 5 u = 215 --- (2)
(2) - (1)
5 u - 1 u = 215 - 155
4 u = 60
1 u = 60 ÷ 4 = 15
From (1):
Shiyun + 1 u = 155
Shiyun + 1 x 15 = 155
Shiyun + 15 = 155
Amount that Shiyun has
= 155 - 15
= $140
Answer(s): $140
