SOLUTION: Mike, Ron, Debra, and Susie divided a $47 refund so that Mike and Ron together got $27, Mike and Debra got $25, and Mike and Susie got $23. How much did Debra get?

Question 388695: Mike, Ron, Debra, and Susie divided a $47 refund so that Mike and Ron together got $27, Mike and Debra got $25, and Mike and Susie got $23. How much did Debra get?
Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
Let m,d, r, s the amount in $ that Mike, Debra, Ron and Susie get : then
m + r = 27 $
m + d = 25 $
m + s = 23 $
m + r + d + s = 47 $
The sum of the 3 1st equation give :
3m + r + d + s = 75 $ | from which we subtract equation 4 :
2m = 18$, hence Mike gets 9$
Ron receives 18$
Debra 16$
Susie 14$

The sum is : ($)9+18+16+4=20 + 18 + 9 = 38+9 = 47$

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