Victoria and Winnie have $161. Shiyun and Victoria have $175. The ratio of Winnie to Shiyun is 4 : 5. How much does Victoria have?
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Amount that Winnie has = 4 u
Amount that Shiyun has = 5 u
The amount that Victoria has is the repeated identity.
Victoria + 4 u = 161 --- (1)
Victoria + 5 u = 175 --- (2)
(2) - (1)
5 u - 4 u = 175 - 161
1 u = 14
From (1):
Victoria + 4 u = 161
Victoria + 4 x 14 = 161
Victoria + 56 = 161
Amount that Victoria has
= 161 - 56
= $105
Answer(s): $105