Problema Solution
A cash register contains only five dollar and twenty dollar bills. It contains four times as many five dollar bills as twenty dollar bills and the total amount of money in the cash register is $2,000. How many five dollar bills are in the cash register?
Answer provided by our tutors
let
x = the number of five dollar bills
y = the number of twenty dollar bills
It contains four times as many five dollar bills as twenty dollar bills:
x = 4y
the total amount of money in the cash register is $2,000:
5x + 20y = 2000 divide both sides by 5
x + 4y = 400
by solving the system of equations:
x = 4y
x + 4y = 400
we find:
x = 200 five dollar bills
y = 50 twenty dollar bills
click here to see the step by step solution of the system of equations:
there are 200 five dollar bills in the cash register.