Posted by **Sarah Mae B. Oquindo** on Friday, February 12, 2010 at 10:15am.

Money Mixtures. Elaine has $194, consisting of $20, $5, and $1 bills. The number of $1 bills is 1 less than the total number of $20 and $5 bills. If she has 39 bills in her purse, how many of each denomination does she have?

- algebra -
**drwls**, Friday, February 12, 2010 at 10:41am
I have already solved two problems like this for you. Set up the algebraic equations that describe what you know, and solve them. There will always be as many independent equations as there are unknowns.

- algebra -
**Reiny**, Friday, February 12, 2010 at 10:49am
number of $20's ---- x

number of $5's ----- y

number of $1's ----- z

but z = x+y - 1

x+y+z = 39

x + y + x+y-1 = 39

2x + 2y = 40

x + y = 20 (#1)

also

20x + 5y + z = 194

20x + 5y + x+y-1 = 194

21x + 6y = 195

7x + 2y = 65 (#2)

double #1 and subtract fron #2

5x = 25

x = 5

then in x+y = 20 , ----> y = 15

and finally

z = x+y-1 = 19

check: is 5+15+19 = 39 ? YES

is 20(5) + 5(15) + 19 = 195 ? YEA!!

## Answer This Question

## Related Questions

- PLEASE HELP!!! ALGEBRA - A bank teller is counting the total amount of money in ...
- Pre Calculus - A bank teller is counting the total amount of money in a cash ...
- algebra - A bank teller has 35 bills in $5, $10, and $20 denominations. The ...
- Algebra: Avc - A cash register has no one dollar bill in it all of the bills ...
- Math - Mr. Singh deposited $170 in his bank. The number of $5 bills was three ...
- Highland - A cash register has no one dollar bills and all of the bills are five...
- Algebra - For a board game there is 3 kinds of bills. There are 11 more $2 bills...
- math - Joseph sold tickets to the school musical. He had 12 bills worth $175 for...
- algebra - a motel clerk counts his 1$ and 10$ bills at the end of a day. He ...
- algerba 1 - 4. The total value of the $1 bills and $5 bills in a cash box is $...

More Related Questions