document.write( "Question 149098: Problem: 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 #109379 by ankor@dixie-net.com(22740)\"\" \"About 
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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( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( "\"Joe has a collection of nickels and dimes that is worth $5.65.\"
\n" ); document.write( ".05n + .10d = 5.65
\n" ); document.write( ":
\n" ); document.write( "\"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.\"
\n" ); document.write( ".05(n+8) + .10(2d) = 10.45
\n" ); document.write( ":
\n" ); document.write( ".05n + .4 + .20d = 10.85
\n" ); document.write( ".05n + .20d = 10.45 - .40
\n" ); document.write( ".05n + .20d = 10.05
\n" ); document.write( ":
\n" ); document.write( "Subtract the 1st equation from the above equation
\n" ); document.write( ".05n + .20d = 10.05
\n" ); document.write( ".05n + .10d = 5.65
\n" ); document.write( "----------------------subtracting eliminates n, find d
\n" ); document.write( "0n + .10d = 4.40
\n" ); document.write( "d = \"4.40%2F.1\"
\n" ); document.write( "d = 44 dimes
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\n" ); document.write( ":
\n" ); document.write( "You can calculate the number of nickels using the 1st equation, then
\n" ); document.write( "Check the solutions in the 2nd equation
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