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 61 bills having a combined monetary value of $214. Find the number of bills of each denomination that he has.

Answer provided by our tutors

let no of $1 bills = x and no of $10 bills =y

from given x+y=61 and x+10y=214

substracting equ1 and equ2 we get

9y=153

y=17

substitute y in equ1

x=61-17

x=44