document.write( "Question 192873: Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have?\r
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Algebra.Com's Answer #144775 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Joe has a collection of nickels and dimes that is worth $6.05. If the number of dimes was doubled and the number of nickels was decreased by 10, the value of the coins would be $9.85. How many dimes does he have? \n" ); document.write( "------------------------- \n" ); document.write( "Value Equation: 5n + 10d = 605 cents \n" ); document.write( "Value Equation: 10(2d) + 5(n-10) = 985 cents \n" ); document.write( "---------------------------------- \n" ); document.write( "Modified Equations: \n" ); document.write( "20d + 5n = 1035 \n" ); document.write( "10d + 5n = 605 \n" ); document.write( "------------------- \n" ); document.write( "10d = 430 \n" ); document.write( "d = 43 (# of dimes) \n" ); document.write( "--- \n" ); document.write( "Substitute into 5n + 10d = 605 to solve for \"n\": \n" ); document.write( "5n + 10*43 = 605 \n" ); document.write( "5n = 175 \n" ); document.write( "n = 35 (# of nickels) \n" ); document.write( "------------------------------\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |