document.write( "Question 180898: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #135632 by stanbon(75887)\"\" \"About 
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Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have?
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\n" ); document.write( "Equations:
\n" ); document.write( "5n + 10d = 605 cents
\n" ); document.write( "5(n-10) + 10(2d) = 985 cents
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\n" ); document.write( "Rearrange:
\n" ); document.write( "n + 2d = 121
\n" ); document.write( "5n + 20d - 1035 = 0 ; n + 4d - 207 = 0
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\n" ); document.write( "Modify:
\n" ); document.write( "n + 2d = 121
\n" ); document.write( "n + 4d = 207
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\n" ); document.write( "Subtract 1st from 2nd to get:
\n" ); document.write( "2d = 86
\n" ); document.write( "d = 43 (number of dimes)
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\n" ); document.write( "Substitute to solve for n:
\n" ); document.write( "n+ 2*43 = 121
\n" ); document.write( "n = 35 (number of nickels)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "===============================================================
\n" ); document.write( "cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );