document.write( "Question 1191204: meatballs and fishballs were sold in packets, each packet containing the same number of meatballs r fishballs. meatballs were priced at 4 pieces for $1 and fish ball at 6 pieces for $1. a man had just enough money to buy 2 packets of meatballs and 1 packet of fishballs. he needed one more dollars if he were to buy 3 packets of meatballs instead. find the number of meatballs or fishballs in a packet \n" ); document.write( "

Algebra.Com's Answer #823017 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "meatballs and fishballs were sold in packets, each packet containing the same number of meatballs
\n" ); document.write( "or fishballs. meatballs were priced at 4 pieces for $1 and fish ball at 6 pieces for $1.
\n" ); document.write( "a man had just $\"highlight%28precisely%29\"$ enough money to buy 2 packets of meatballs and 1 packet of fishballs.
\n" ); document.write( "he needed one more dollars if he were to buy 3 packets of meatballs instead.
\n" ); document.write( "find the number of meatballs or fishballs in a packet
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\n" ); document.write( "\n" ); document.write( " I made a correction in the problem's formulation \r
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document.write( "Let m is the price of one single meatball;  f be the price of one single fishball.\r\n" );
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document.write( "From the condition, we have  \r\n" );
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document.write( "    4m = 1  dollar;   6f = 1  dollar.      (1)\r\n" );
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document.write( "Next, let M = price of each single meatball packet; F = price of each single fishball packet.\r\n" );
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document.write( "From the condition, we have this equation\r\n" );
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document.write( "    2M + F + 1 = 3M.      (2)\r\n" );
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document.write( "Let x be the numbers of meatbaal in each meatball packet \r\n" );
document.write( "    (the same as the number of fishballs in each fishball packet).\r\n" );
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document.write( "Then we can re-write equation (2) in the form\r\n" );
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document.write( "    2(xm) + xf + 1 = 3(xm).\r\n" );
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document.write( "It implies\r\n" );
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document.write( "    xf + 1 = xm.          (3)\r\n" );
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document.write( "Multiply equation (3) by 24 (both sides)\r\n" );
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document.write( "    24xf + 24 = 24xm.     (4)\r\n" );
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document.write( "Next transform equation (4)\r\n" );
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document.write( "    4x*(6f) + 24 = 6x*(4m)\r\n" );
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document.write( "and replace here  6f  by 1,  4m  by  1  based on  (1).  You will get\r\n" );
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document.write( "    4x + 24 = 6x\r\n" );
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document.write( "       24   = 6x - 4x\r\n" );
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document.write( "       24   = 2x\r\n" );
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document.write( "        x   = 24/2 = 12.\r\n" );
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document.write( "                 |   The problem is just solved.  |\r\n" );
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document.write( "ANSWER.  Each meatball packet contains 12 meatballs;  each fishball packet contains 12 fishballs.\r\n" );
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