SOLUTION: A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 53 bills having a combined monetary value of ​$206. Find the nu

Algebra ->  Equations -> SOLUTION: A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 53 bills having a combined monetary value of ​$206. Find the nu      Log On


   

Question 1130624: A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 53 bills having a combined monetary value of ​$206. Find the number of bills of each denomination that he has.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of $1 bills
+53+-+x+ = number of $10 bills
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+x+%2B+10%2A%28+53+-+x+%29+=+206+
+x+%2B+530+-+10x+=+206+
+9x+=+324+
+x+=+36+
and
+53+-+x+=+53+-+36+
+53+-+x+=+17+
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He has 36 $1 bills and 17 $10 bills
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check:
+x+%2B+10%2A%28+53+-+x+%29+=+206+
+36+%2B+10%2A17+=+206+
+36+%2B+170+=+206+
+206+=+206+
OK