SOLUTION: A motel clerk count his $1 and $10 bills at the end of the day. He finds that he has a total of 64 bills having a combined monetary value of $199. Find the number of bills of each

Question 1004395: A motel clerk count his $1 and $10 bills at the end of the day. He finds that he has a total of 64 bills having a combined monetary value of $199. Find the number of bills of each denomination that he has.
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Call the numbers of $1 and $10 bills, x and y.
Then from the facts we have
x + y = 64 but their value is
x + 10y = 199
Now subtract the equations and get
-9y = - 135
y = 15 $10 bills
x = 49 $1 bills
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