document.write( "Question 463104: Jack has 4 more nickels than dimes, and the total value of the money is $1.25. How many nickels does he have?\r
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Algebra.Com's Answer #317351 by Edwin McCravy(20067) You can put this solution on YOUR website! \r\n" ); document.write( "I'll start out being a smarty pants! \r\n" ); document.write( "\r\n" ); document.write( "The problem doesn't say Jack doesn't have other coins. \r\n" ); document.write( "So he could have had\r\n" ); document.write( "\r\n" ); document.write( " 3 quarters, 2 dimes and 6 nickels.\r\n" ); document.write( "\r\n" ); document.write( "Or he could have had\r\n" ); document.write( "\r\n" ); document.write( " 6 dimes, 10 nickels and 15 pennies.\r\n" ); document.write( "\r\n" ); document.write( "Either way he'd have $1.25 and 4 more nickels than dimes.\r\n" ); document.write( "\r\n" ); document.write( "The problem just said he had 4 more nickels than dimes, and the\r\n" ); document.write( "total money was $1.25.\r\n" ); document.write( "\r\n" ); document.write( "So he could have even had a quarter, 5 dimes, 9 nickels and 5 pennies.\r\n" ); document.write( "\r\n" ); document.write( "All those are solutions, and there are a number of others,\r\n" ); document.write( "since the problems didn't say he didn't have anything but dimes \r\n" ); document.write( "and nickels.\r\n" ); document.write( "\r\n" ); document.write( "But that was just to prove a point! Now I'll do it assuming there\r\n" ); document.write( "were no other coins but just dimes and nickels.\r\n" ); document.write( "\r\n" ); document.write( "Let x = the number of dimes \r\n" ); document.write( "Then x+4 = the number of nickels\r\n" ); document.write( "\r\n" ); document.write( "Then\r\n" ); document.write( "\r\n" ); document.write( "$.05 times the number of nickels + $.10 times the number of dimes = $1.25\r\n" ); document.write( "\r\n" ); document.write( " .05x + .10(x+4) = 1.25\r\n" ); document.write( "\r\n" ); document.write( "Multiply through by 100:\r\n" ); document.write( "\r\n" ); document.write( " 5x + 10(x+4) = 125\r\n" ); document.write( "\r\n" ); document.write( " 5x + 10x + 40 = 125\r\n" ); document.write( "\r\n" ); document.write( " 15x + 40 = 125\r\n" ); document.write( " \r\n" ); document.write( " 15x = 105\r\n" ); document.write( "\r\n" ); document.write( " x = 7 dimes\r\n" ); document.write( "\r\n" ); document.write( " x+4 = 11 nickels.\r\n" ); document.write( "\r\n" ); document.write( "Now that's probably the answer your teacher wanted. But\r\n" ); document.write( "as the problem is stated Jack could have NO dimes at all,\r\n" ); document.write( "just 4 nickels and 105 pennies! After all 4 nickels is 4 more \r\n" ); document.write( "than 0 dimes. J\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |