Shiyun and Risa have $243. Anna and Shiyun have $276. The ratio of Risa to Anna is 4 : 7. How much does Shiyun have?
Amount that Risa has = 4 u
Amount that Anna has = 7 u
The amount that Shiyun has is the repeated identity.
Shiyun + 4 u = 243 --- (1)
Shiyun + 7 u = 276 --- (2)
(2) - (1)
7 u - 4 u = 276 - 243
3 u = 33
1 u = 33 ÷ 3 = 11
From (1):
Shiyun + 4 u = 243
Shiyun + 4 x 11 = 243
Shiyun + 44 = 243
Amount that Shiyun has
= 243 - 44
= $199
Answer(s): $199
