The register contains 8 number of $20 bills and 13 number of $100 bills.
<h3>What is termed as the linear equation in two variables?</h3>
- A linear equation in two variables is one that is written in the form ax + by + c=0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.
Let 'x' be the of $20 bills.
Let 'y' be of $100 bills.
Total bill = 21
x+y = 21
y = -x+21 ......eq1
Now,
Total price = $1460.
20x + 100y = 1460
Put value of y from eq 1.
20x + 100(-x+21) = 1460
20x-100x+2100=1460
-80x=-640
x=8 (Number of $20 bill)
And,
-8+21=13
y=13 (Number of $100 bills)
Thus, the register contains 8 number of $20 bills and 13 number of $100 bills.
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The complete question is-
A cash register contains $20 bills and $100 bills with a total value of $1460. If there are 21 bills total, then how many of each does the register contain?
