document.write( "Question 208666: My brain does not mix numbers and letters, but I'm trying to help my grandson with his summer homework. Here's one of two that he couldn't figure out. Altogether you have $3.30. If you have 9 more nickels than dimes and 12 fewer quarters than nickels, how many of each do you have? \n" ); document.write( "

Algebra.Com's Answer #157816 by nerdybill(7384) $\"\"$ $\"About$

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. Altogether you have $3.30. If you have 9 more nickels than dimes and 12 fewer quarters than nickels, how many of each do you have?
\n" ); document.write( ".
\n" ); document.write( "Let x = number of dimes
\n" ); document.write( "then
\n" ); document.write( "x+9 = number of nickels
\n" ); document.write( "x+9 -12 = x-3 = number of quarters
\n" ); document.write( ".
\n" ); document.write( ".05(x+9) + .10x + .25(x-3) = 3.30
\n" ); document.write( ".05x+.45 + .10x + .25x-.75 = 3.30
\n" ); document.write( ".40x-.30 = 3.30
\n" ); document.write( ".40x = 3.60
\n" ); document.write( "x = 3.60/.40
\n" ); document.write( "x = 9 (number of dimes)
\n" ); document.write( ".
\n" ); document.write( "number of nickels:
\n" ); document.write( "x+9 = 9+9 = 18
\n" ); document.write( ".
\n" ); document.write( "number of quarters:
\n" ); document.write( "x-3 = 9-3 = 6 \n" ); document.write( "

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