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You can put this solution on YOUR website!
A clerk was asked to change a $10 bill. She returned 9 more dimes than nickels and 21 more quarters than dimes. How many of coins of each did she return?
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\n" ); document.write( "We can avoid decimals if we do this in terms of cents instead of dollars:
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\n" ); document.write( "Let the amount of nickels be: x
\n" ); document.write( "Then the amount of money in nickles is: 5x in cents
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\n" ); document.write( "The amount of dime is 9 more than nickles: x+9
\n" ); document.write( "Then the amount of money in dimes is: 10(x+9) in cents
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\n" ); document.write( "The amount of quarters is 21 more than dimes: (x+9)+21=x+30
\n" ); document.write( "Then the amount of money in quarters is: 25(x+30) in cents
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\n" ); document.write( "She has a total of: $10.00 or 1000 in cents
\n" ); document.write( "So add all the amounts to = 1000
\n" ); document.write( "Problem to solve:
\n" ); document.write( "5x+10(x+9)+25(x+30)=1000
\n" ); document.write( "5x+10x+90+25x+750=1000
\n" ); document.write( "40x+840=1000
\n" ); document.write( "40x+840-840=1000-840
\n" ); document.write( "40x=160
\n" ); document.write( "40x/40=160/40
\n" ); document.write( "x=4
\n" ); document.write( "The amount of nickels: x=4
\n" ); document.write( "The amount of dimes: x+9=4+9=13
\n" ); document.write( "The amount of quarters: x+30=4+30=34
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\n" ); document.write( "To check add 4 nickels, 13 dimes and 34 quarters and see if you get $10.
\n" ); document.write( "$.05(4)+$.10(13)+$.25(34)=$10.00 ?
\n" ); document.write( "$.20+$1.30+$8.50=$10.00 ?
\n" ); document.write( "$10.00=$10.00 !!! Yeah!!!
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "