##### dollar bill question/sales question

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet \$5

Two friends sold many pieces of furniture and made \$860 during their garage sale. They had twelve more \$10 bills than \$50 bills. They had 1 more then 3 times as many \$20 bills as \$50 bills. How many of each denomination did they have?

Oct 7th, 2015

let the number of \$50 be x; therefore, the two friends had 12+x numbers of \$10, and 3x+1 number of \$20.

However, they made \$860 in total. Therefore, multiply the number of notes by the note's value to get \$860.

\$50x + \$10(12+x) + \$20(3x+1)= \$860, opening the brackets we have;

\$50x+\$120+\$10x+\$60x+\$20=\$860

collecting like terms, then;

\$50x+\$60x+\$10x=\$860-\$20-\$120

\$120x=720, divide both sides by \$120;

x=6

the two friends had six \$50 denomination,

12+6= 18, and eighteen \$10 denominations,

3(6)+1=18+1=19, and nineteen \$20 denominations.

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Oct 7th, 2015

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Oct 7th, 2015
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Oct 7th, 2015
Oct 19th, 2017
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