document.write( "Question 135378: sarah has a collection of nickles, dimes, and quarters worth $15.75. she has 10 more dimes than nickles and twice as many quarters as dimes. How many coins of each does she have? \n" ); document.write( "

Algebra.Com's Answer #99186 by stanbon(75887) $\"\"$ $\"About$

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sarah has a collection of nickles, dimes, and quarters worth $15.75. she has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each does she have?
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\n" ); document.write( "Let # of nickels be \"x\" ; Value is 5x cents
\n" ); document.write( "# of dimes is \"x+10\" ;value is 10(x+10) = 10x+100 cents
\n" ); document.write( "# of quarters is 2(x+10)=2x+20; value is 25(2x+20) = 50x+500 cents
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\n" ); document.write( "EQUATION:
\n" ); document.write( "value + value + value = 1575 cents
\n" ); document.write( "5x + 10x+100+50x+500 = 1575
\n" ); document.write( "65x +600 = 1575
\n" ); document.write( "65x = 975
\n" ); document.write( "x = 15 (number of nickels)
\n" ); document.write( "x+10 = 25 (number of dimes)
\n" ); document.write( "2x+20 = 50 (number of quarters)
\n" ); document.write( "===================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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