SOLUTION: A wallet contains $218 in $10, $5, and $1 bills. There are forty-six bills in all and four more fives than tens. How many bills of each kind are there?

Question 1152478: A wallet contains $218 in $10, $5, and $1 bills. There are forty-six bills in all and four more fives than tens. How many bills of each kind are there?
Answer by ikleyn(52926) (Show Source): You can put this solution on YOUR website!
.


Let x be the number of tens bills.

Then the number of fives is (x+4)  and the number of ones is the rest (46-x-(x+4)) = (42-2x).


The equation for the total money is


    10x + 5*(x+4) + (42-2x) = 218.


Simplify and solve


    10x + 5x + 20 + 42 - 2x = 218

    13x = 218 - 42 - 20

    13x = 156

    x = 156/13 = 12.


ANSWER.  12 of tens;  12+4 = 16 of fives  and the rest,  46-12-16 = 18 of ones.


CHECK.   12*10 + 16*5 + 18 = 218  dollars.   ! Precisely correct !

Solved.

RELATED QUESTIONS
you have $165 in ones, fives, and tens. there are three times as many $1 bills as $10... (answered by dabanfield)

A person opens his wallet and finds that all the bills are $1 bills, $5... (answered by josgarithmetic,greenestamps)

A person opens his wallet and finds that all the bills are $1 bills, $5... (answered by stanbon)

A person opens his wallet and finds that all the bills are $1 bills, $5 bills, or $10... (answered by josgarithmetic)

A wallet contains P600 in P20 and P50 bills. There are two more than P20 bills than P50... (answered by greenestamps)

Jane has twenty bills in her wallet. She has a total of $80. If she has two more $5 bills (answered by Fombitz)

Jonah opens his wallet and finds that all of the bills are $1 bills,$5 bills or $10... (answered by josmiceli,MathTherapy)

a wallet contains only $5 bills and $10 bills. The number of $10 bills is four more than... (answered by macston)

Nadine found a wallet which contains 1560 pesos in P10 and P20 bills. If there are 110... (answered by robertb)