document.write( "Question 661837: A coin bank contains only nickels and dimes. The bank contains 46 coins. If 5 dimes and 2 nickels were removed, the total value of the coins would be $3.40. Find the number of each type of coin in the bank.
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Algebra.Com's Answer #411973 by ReadingBoosters(3246)![]() ![]() ![]() You can put this solution on YOUR website! x = dimes \n" ); document.write( "y = nickels \n" ); document.write( "x+y=46 \n" ); document.write( "3.40=(.1x+.05y)-(.1(5)) - (.05(2)) \n" ); document.write( "3.40 = .1x + .05y - .6 \n" ); document.write( "4 = .1x + .05y \n" ); document.write( "given x = 46 - y \n" ); document.write( "substitute into the equation \n" ); document.write( "4 = .1(46-y) + .05y \n" ); document.write( "distribute the .1 \n" ); document.write( "4 = 4.6 - .1y + .05y \n" ); document.write( "4 = 4.6 - .05y \n" ); document.write( ".05y = 4.6 - 4 \n" ); document.write( ".05y = .6 \n" ); document.write( "y = 12 nickels \n" ); document.write( "x = 46 - 12 = 34 dimes \n" ); document.write( " |