document.write( "Question 514773: I have $4.30 in nickles, dimes and quarters. I have 2 more nickles than dimes and 2 less nickles than quarters. How many nickles, dimes and quarters in total? \n" ); document.write( "

Algebra.Com's Answer #343561 by oberobic(2304) $\"\"$ $\"About$

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n = number of nickels
\n" ); document.write( "5n = value in cents
\n" ); document.write( "d = number of dimes
\n" ); document.write( "10d = value in cents
\n" ); document.write( "q = number of quarters
\n" ); document.write( "25q = value in cents
\n" ); document.write( ".
\n" ); document.write( "5n + 10d + 25q = 430 cents
\n" ); document.write( ".
\n" ); document.write( "d = n-2
\n" ); document.write( "q = n+2
\n" ); document.write( ".
\n" ); document.write( "substitute
\n" ); document.write( ".
\n" ); document.write( "5n + 10(n-2) + 25(n+2) = 430
\n" ); document.write( "5n + 10n -20 +25n + 50 = 430
\n" ); document.write( "40n +30 = 430
\n" ); document.write( "40n = 400
\n" ); document.write( "n = 10
\n" ); document.write( ".
\n" ); document.write( "d = 10-2 =8
\n" ); document.write( "q = 10+2 = 12
\n" ); document.write( ".
\n" ); document.write( "Check to see if the value is right.
\n" ); document.write( "5(10) = 50
\n" ); document.write( "10(8) = 80
\n" ); document.write( "25(12) = 300
\n" ); document.write( "50 +80 + 300 = 430
\n" ); document.write( "Correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: 10 nickels, 8 dimes, and 12 quarters.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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