document.write( "Question 105688: A collection of 15 coins is worth 1.00. If the coins are dimes and nickels, how many of each coin are there?\r
\n" ); document.write( "\n" ); document.write( "This is a word problem from Math 100.
\n" ); document.write( "Can you please give me the the equation for solving this problem?\r
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Algebra.Com's Answer #76884 by tutorcecilia(2152)\"\" \"About 
You can put this solution on YOUR website!
Let x = nickles
\n" ); document.write( "Let y = dimes
\n" ); document.write( ".
\n" ); document.write( ".05x + .10y = 1.00
\n" ); document.write( "x+y=15
\n" ); document.write( "y=15-x
\n" ); document.write( "So,
\n" ); document.write( ".05x + .10(15-x)=1.00
\n" ); document.write( ".05x + 1.5 - .10x = 1.00
\n" ); document.write( "-.05x + 1.5 = 1.00
\n" ); document.write( "-.05x = 1.00 - 1.5
\n" ); document.write( "-.05x = -.50
\n" ); document.write( "-.05x/-.05 = -.50/-.05
\n" ); document.write( "x=10
\n" ); document.write( "x+y=15
\n" ); document.write( "10+y=15
\n" ); document.write( "y=15-10
\n" ); document.write( "y=5
\n" ); document.write( ".
\n" ); document.write( "Checking:
\n" ); document.write( "0.05(10) + .10(5)=1.00
\n" ); document.write( ".50 +.50=1.00
\n" ); document.write( "1.00=1.00 (checks out)\r
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