Posted by **Jona** on Tuesday, February 19, 2013 at 7:08pm.

A bank teller is counting the total amount of money in a cash register at the end of the day. There is a total of $2600 in denominations of $1, $5, $10 and $20 dollar bills.

The total number of paper bills is $235. The number of twenty dollar bills is twice the number of $1 dollar bills and the number of $5 dollar bills is ten more than the number of $1 dollar bills. What is the system of equations to repersent the situation. Then use matrices to find the number of bills for each denomination.

- PLEASE HELP!!! ALGEBRA -
**Reiny**, Tuesday, February 19, 2013 at 8:28pm
Did you mean

" the total number of paper bills is 235" , not $235 ?

let the number of $1 bills be x

number of $20 bills = 2x

number of $5 bills = x+10

number of $10 bills = y

x + 2x + x+10 + y = 235

4x + y = 225 (#1)

1(x) + 20(2x) + 5(x+10) + 10y = 2600

x + 40x + 5x + 50 + 10y = 2600

46x + 10y = 2550

23x + 5y = 1275 (#2)

Using matrices ???? , why?

from #1, y = 225-4x

sub into 2nd

23x + 5(225-x) = 1275

23x + 1125 - 5x = 1275

18x = 150

x = 150/18 ---> not a whole number,

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