an errand boy went to the bank to deposit some bills for his employer. Some if the bills were one-dollar bills and the rest were five-dollar bills. The total value of the bills was 86$ and the number of bills was 38. Find the number of each kind of bill.

system of equations.

Please help if you can thanks!

Question

an errand boy went to the bank to deposit some bills for his employer. Some if the bills were one-dollar bills and the rest were five-dollar bills. The total value of the bills was 86$ and the number of bills was 38. Find the number of each kind of bill.

system of equations.

Please help if you can thanks!

anonymous · Answer

ones + fives = 38           (1)(ones) + (5)(fives) = 86

If you don't like "ones" and "fives", you can use "x" and "y" if you like.  You can solve this now by either elimination or substitution.

anonymous · Answer

Are you able to solve the above system I identified for you, @maddie227 ?

anonymous · Answer

um... yeah it helped a bit but still not coming up with an answer.

anonymous · Answer

Try using "x" and "y".   Let "x" be the number of "one dollar bills" and let "y" be the number of "five dollar bills".

x + y = 38                x + 5y = 86

x = 38 - y                x + 5y = 86        rearranging 1st equation

(38 - y) + 5y = 86                              substituting 1st into 2nd

38 + (-y + 5y) = 86                           associative law

38 + 4y = 86                                     simplify

4y = 48

y = 12


So, x = 26

anonymous · Answer

And that's all there is, and now you have the # of one and five dollar bills (x and y).  All good now, @maddie227 ?

anonymous · Answer

thanks! @tcarroll010

anonymous · Answer

Good luck to you in all of your studies and thx for the recognition!  You're welcome, @maddie227