document.write( "Question 164749: 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 did he have?
\n" ); document.write( "d=dimes, n=nickels
\n" ); document.write( "equation #1 n+d=$5.65
\n" ); document.write( "equation #2 5(n+8)+2(10d)=$10.45 Please help me solve.
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Algebra.Com's Answer #121414 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
This problem came up once already today. Here is what I submitted then
\n" ); document.write( ":
\n" ); document.write( "Joe has a collection of nickels and dimes that is worth $5.65. If the number of
\n" ); document.write( " dimes were doubled and the number of nickels were increased by 8,the value of
\n" ); document.write( " the coins would be $10.45. How many dimes does he have?
\n" ); document.write( ":
\n" ); document.write( "n = no. of dimes
\n" ); document.write( "d = no. of nickels
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\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( ".05n + .40 + .20d = 10.45
\n" ); document.write( ".05n + .20d = 10.45 - .40
\n" ); document.write( ".05n + .20d = 10.05
\n" ); document.write( ":
\n" ); document.write( "Multiply the 1st equation by 2, subtract the above equation from it:
\n" ); document.write( ".10n + .20d = 11.30
\n" ); document.write( ".05n + .20d = 10.05
\n" ); document.write( "---------------------subtraction eliminates d
\n" ); document.write( ".05n = 1.25
\n" ); document.write( "n = \"1.25%2F.05\"
\n" ); document.write( "n = 25 nickels
\n" ); document.write( ":
\n" ); document.write( "How many dimes does he have?
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation to find d, substitute 25 for n
\n" ); document.write( ".05(25) + .10d = 5.65
\n" ); document.write( "1.25 + .10d = 5.65
\n" ); document.write( ".10d = 5.65 - 1.25
\n" ); document.write( ".10d = 4.40
\n" ); document.write( "d = \"4.40%2F.10\"
\n" ); document.write( "d = 44 dimes
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\n" ); document.write( "Confirm our solutions, using the 2nd statement: 33 nickels and 88 dimes
\n" ); document.write( ".05(33) + .10(88) = 10.45
\n" ); document.write( "1.65 + 8.80 = 10.45 \n" ); document.write( "
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