document.write( "Question 1012502: While cleaning out his school backpack, Phil found $4.90 in change. More precisely,
\n" ); document.write( "he finds that the number of nickels is double that of quarters and that there are 4 dimes more than the number of quarters. How many dimes did Phil find at the bottom of his bag? \n" ); document.write( "

Algebra.Com's Answer #628451 by stanbon(75887) $\"\"$ $\"About$

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While cleaning out his school backpack, Phil found $4.90 in change. More precisely, he finds that the number of nickels is double that of quarters and that there are 4 dimes more than the number of quarters. How many dimes did Phil find at the bottom of his bag?
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\n" ); document.write( "Quantity Equation::
\n" ); document.write( "n = 2q
\n" ); document.write( "d = q+4
\n" ); document.write( "5n + 10d + 25q = 490 cents
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\n" ); document.write( "Modify::
\n" ); document.write( "n + 2d + 5q = 98
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\n" ); document.write( "Substitute::
\n" ); document.write( "2q +2q+8 + 5q = 98
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\n" ); document.write( "9q = 90
\n" ); document.write( "q = 10 (# of quarters)
\n" ); document.write( "n = 2q = 20 (# of nickels)
\n" ); document.write( "d = q+4 = 14 (# of dimes)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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