document.write( "Question 668785: twice as many nickels as quarters.If coins are worth $2.80 how many quarters are there \n" ); document.write( "
Algebra.Com's Answer #415882 by amazingrace333(11)\"\" \"About 
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To start, what do you know?...you know that you have:
\n" ); document.write( "2x as many nickels than quarters
\n" ); document.write( "and
\n" ); document.write( "the total of the quarters and the nickels will give you $2.80.\r
\n" ); document.write( "\n" ); document.write( "So if X = the number of quarters, then 2X = the number of nickels.\r
\n" ); document.write( "\n" ); document.write( "Since you need to take into account the value of each coin, your equation is:
\n" ); document.write( "2X(.05 for the amount of each nickel)+ X(.25 for the amount of each quarter)=2.80\r
\n" ); document.write( "\n" ); document.write( "Now simplify and solve:
\n" ); document.write( "2X(.05)+.25X = 2.8
\n" ); document.write( ".1X + .25X = 2.8
\n" ); document.write( ".35X = 2.8
\n" ); document.write( ".35X/.35 = 2.8/.35
\n" ); document.write( "X = 8
\n" ); document.write( "Since X = the number of quarters, you have 8 quarters.
\n" ); document.write( "Since 2X = the number of nickels, you have 16 nickels.\r
\n" ); document.write( "\n" ); document.write( "Check your answer:
\n" ); document.write( "8 quarters + 16 nickels should give you $2.80
\n" ); document.write( "8(.25) + 16(.05) =
\n" ); document.write( "2.0 + .8 = 2.8 or $2.80
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