document.write( "Question 151727: Hi. I need help answering the following question. Thanks in advance.
\n" ); document.write( "Sandy has $3.75 in change. She has three more quarters than dimes but twice as many nickels as quarters. Express as an algebraic equation and simplify. \n" ); document.write( "
Algebra.Com's Answer #111561 by nerdybill(7384)\"\" \"About 
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\n" ); document.write( "Let x = number of dimes
\n" ); document.write( "then
\n" ); document.write( "from:\"She has three more quarters than dimes\"
\n" ); document.write( "x+3 = number of quarters
\n" ); document.write( "from:\"but twice as many nickels as quarters\"
\n" ); document.write( "2(x+3) = number of nickels
\n" ); document.write( ".
\n" ); document.write( "Finally, since \"Sandy has $3.75 in change\" we derive our equation:
\n" ); document.write( ".10x + .25(x+3) + .05(2)(x+3) = 3.75
\n" ); document.write( ".10x + .25x + .75 + .10(x+3) = 3.75
\n" ); document.write( ".10x + .25x + .75 + .10x + .30 = 3.75
\n" ); document.write( ".45x + 1.05 = 3.75
\n" ); document.write( ".45x = 2.70
\n" ); document.write( "x = 6 (number of dimes)
\n" ); document.write( ".
\n" ); document.write( "x+3 = 6+3 = 9 (number of quarters)
\n" ); document.write( ".
\n" ); document.write( "2(x+3) = 2(6+3) = 2(9) = 18 (number of nickels)\r
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