document.write( "Question 171437: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #126573 by ptaylor(2198)\"\" \"About 
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Let x=number of nickels
\n" ); document.write( "y=number of dimes\r
\n" ); document.write( "\n" ); document.write( "Lets deal in pennies:\r
\n" ); document.write( "\n" ); document.write( "We are told that:
\n" ); document.write( "5x+10y=565 divide each term by 5
\n" ); document.write( "x+2y=113----------------------------------eq1
\n" ); document.write( "and
\n" ); document.write( "5(x+8)+10*2y=1045=
\n" ); document.write( "5x+40+20y=1045 subtract 40 from each side
\n" ); document.write( "5x+20y=1005 divide each term by 5
\n" ); document.write( "x+4y=201-----------------------------------------eq2\r
\n" ); document.write( "\n" ); document.write( "subtract eq1 from eq2:
\n" ); document.write( "2y=88
\n" ); document.write( "y=44-------------------------- number of dimes
\n" ); document.write( "substitute into eq1:
\n" ); document.write( "x+88=113
\n" ); document.write( "x=25-------------------------number of nickels\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "5*25+10*44=565
\n" ); document.write( "125+440=565
\n" ); document.write( "565=565
\n" ); document.write( "and
\n" ); document.write( "5*(25+8)+10*88=1045
\n" ); document.write( "165+880=1045
\n" ); document.write( "1045=1045\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor
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