Problema Solution

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

Answer provided by our tutors

let


x = the number of $1 bills


y = the number of 10$ bills


He finds that he has a total of 64 bills


x + y = 64


having a combined momentary value of $199


1*x + 10*y = 199


by solving the system of equations


x + y = 64

1*x + 10*y = 199


we find


x = 49 bills


y = 15 bills


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there are 49 bills of $1 and 15 bills of 10$.