Question

A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 55 bills having a combined monetary value of ​$163. Find the number of bills of each denomination that he has.

Answer 1

Answer:

43 dollar bills and 12 ten dollar bills

Step-by-step explanation:

let x = number of $1

y = number of $10

x + 10y = 163

x+y = 55

x = 55 - y

x + 10y = 163

(55-y) + 10y =163

55 - y + 10y = 163

9y = 163 - 55

9y = 108

y = 12

x = 55 - 12

x = 43