document.write( "Question 477653: 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? \r
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document.write( "For the equation I got D+N=5.65 and D^2+N^8=10.45 \r
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document.write( "Am I any were close? I still am not sure how to find the number of dimes. \n" );
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Algebra.Com's Answer #327327 by stanbon(75887) ![]() You can put this solution on YOUR website! 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( "Value Equation: 5n + 10d = 565 cents \n" ); document.write( "Value Equation: 5(n+8)+10(2d) = 1045 cents \n" ); document.write( "------------------------------------------- \n" ); document.write( "Modify: \n" ); document.write( "5n + 10d = 565 \n" ); document.write( "5n + 20d = 1005 \n" ); document.write( "---------------------- \n" ); document.write( "Subtract and solve for \"d\": \n" ); document.write( "10d = 440 \n" ); document.write( "d = 44 (# of dimes) \n" ); document.write( "--- \n" ); document.write( "Solve for \"n\": \n" ); document.write( "5n + 10d = 565 \n" ); document.write( "5n + 440 = 565 \n" ); document.write( "5n = 125 \n" ); document.write( "n = 25 (# of nickels \n" ); document.write( "======================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H._ \n" ); document.write( " |