document.write( "Question 389465: A bag contains nickles and quaters. There are 6 more nickles than quaters. Te total value of the coins is $4.50. How many of each coin are there? \n" ); document.write( "

Algebra.Com's Answer #275988 by gwendolyn(128) $\"\"$ $\"About$

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Let N be the number of nickles
\n" ); document.write( "Let Q be the number of quarters\r
\n" ); document.write( "\n" ); document.write( "There are 6 more nickles than quarters, so
\n" ); document.write( "N = Q + 6\r
\n" ); document.write( "\n" ); document.write( "The total value of coins is $4.50, (450 cents) so:\r
\n" ); document.write( "\n" ); document.write( "5*N + 25*Q = 450\r
\n" ); document.write( "\n" ); document.write( "Substitute the value of N from the first equation into the second:\r
\n" ); document.write( "\n" ); document.write( "5*(Q + 6) + 25*Q = 450\r
\n" ); document.write( "\n" ); document.write( "Distribute the 5 on the right hand side:
\n" ); document.write( "5*Q + 30 + 25*Q = 450
\n" ); document.write( "30*Q + 30 = 450
\n" ); document.write( "Subtract 30 from each side:
\n" ); document.write( "30*Q + 30 - 30 = 450 - 30
\n" ); document.write( "30*Q = 420
\n" ); document.write( "Divide each side by 30:
\n" ); document.write( " $\"30%2AQ%2F30+=+420%2F30\"$
\n" ); document.write( "Q = 14\r
\n" ); document.write( "\n" ); document.write( "And substituting back into the first equation:\r
\n" ); document.write( "\n" ); document.write( "N = Q + 6
\n" ); document.write( "N = 14 + 6
\n" ); document.write( "N = 20 \n" ); document.write( "

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