document.write( "Question 118486: Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels as quarters and four more nickels than dimes. She has a total of $5.10. How many coins of each kind does Susan have in her purse? \n" ); document.write( "

Algebra.Com's Answer #86604 by stanbon(75887) $\"\"$ $\"About$

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Susan's change purse contains quarters, dimes, and nickels. She has twice as many nickels as quarters and four more nickels than dimes. She has a total of $5.10. How many coins of each kind does Susan have in her purse?
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\n" ); document.write( "Let number of quarters be \"x\" ; value is 25x cents
\n" ); document.write( "Then number of nickels is \"2x\": value is 5*2x = 10x cents
\n" ); document.write( "And number of dimes = \"2x-4\" ; value is 10(2x-4) = 20x-40 cents
\n" ); document.write( "-------------------
\n" ); document.write( "EQUATION:
\n" ); document.write( "value + value + value 510 cents
\n" ); document.write( "25x + 10x + 20x-40 = 510
\n" ); document.write( "55x = 550
\n" ); document.write( "x = 10 (# of quarters)
\n" ); document.write( "2x = 20 (# of nickels)
\n" ); document.write( "2x-4 = 16 (# of dimes)
\n" ); document.write( "=======================
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H. \n" ); document.write( "

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