SOLUTION: Here's another word problems that we need help on as well. Jody paid for her $44 bill at the hardware store using a combination of $10, $5, and $1 bills. If she paid with 13 bil

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Here's another word problems that we need help on as well. Jody paid for her $44 bill at the hardware store using a combination of $10, $5, and $1 bills. If she paid with 13 bil      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 346838: Here's another word problems that we need help on as well.
Jody paid for her $44 bill at the hardware store using a combination of $10, $5, and $1 bills. If she paid with 13 bills in all, how many of each bill did she use?
Yes only 13 bills!!!! PLEASE HELP US!!! :)

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


To pay off $44 with 10s, 5s, and 1s, the number of 1s subtracted from 44 must leave an amount divisible by 5 so that the balance can be paid with 10s and 5s.

That means that she uses 4 ones or 9 ones. She can't use 14 ones because that would violate the 13 bill rule.

If she uses 4 ones, then that leaves 40 dollars to be paid. If she pays the entire 40 with 5s, then that is 8 more bills for a total of 12 -- one too few to satisfy the 13 bill requirement.

If she uses 9 ones, then that leaves 35 dollars to be paid using 4 bills. 3 tens and a 5 should do it.

In summary, 3 tens, 1 five, 9 ones.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism