document.write( "Question 994316: There are total of 41 coins in the piggy bank that consists of nickels, dimes, and quarters. The total value is $4.95. The number of dimes is seven less than the number of quarters. Find the number of nickels dimes and quarters in the piggy bank \n" ); document.write( "

Algebra.Com's Answer #808271 by CubeyThePenguin(3113) $\"\"$ $\"About$

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n = number of nickels
\n" ); document.write( "d = number of dimes
\n" ); document.write( "q = number of quarters\r
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\n" ); document.write( "\n" ); document.write( "n + d + q = 41
\n" ); document.write( "5n + 10d + 25q = 495
\n" ); document.write( "d = q - 7\r
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\n" ); document.write( "\n" ); document.write( "Substitute the third equation into the first and second equations.\r
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\n" ); document.write( "\n" ); document.write( "n + 2q = 48
\n" ); document.write( "5n + 35q = 565 ---> n + 7q = 113\r
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\n" ); document.write( "\n" ); document.write( "n + 2q = 48
\n" ); document.write( "-n - 7q = -113
\n" ); document.write( "-------------------
\n" ); document.write( "-5q = -65
\n" ); document.write( "q = 13 ---> d = 6 ---> n = 22\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There are 22 nickels, 6 dimes, and 13 quarters. \n" ); document.write( "

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