SOLUTION: A cash register has 43 bills, all of them 5 dollar and 1 dollar bills. The combined monetary value of the bills is $167. Find the number of each denomination.
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Question 302313: A cash register has 43 bills, all of them 5 dollar and 1 dollar bills. The combined monetary value of the bills is $167. Find the number of each denomination. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! let x = no. of $5 bills
Let y = no. of $1 bills
:
A cash register has 43 bills, all of them 5 dollar and 1 dollar bills.
x + y = 43
:
The combined monetary value of the bills is $167.
5x + 1y = 167
:
Find the number of each denomination.
Subtract the 1st equation from the 2nd equation
5x + y = 167
x + y = 43
-----------------Subtraction eliminates y find x
4x = 124
x =
x = 31 ea $5 bills
Find y
31 + y = 43
y = 43 - 31
y = 12 ea $1 bills
:
Check in the total$ equation
5(31) + 12 = 167
