document.write( "Question 1051058: together Tom and Jared sell 85 cups of hot chocolate at the football game. Jared sells 7 more cups than Tom. How many do they each sell? \r
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\n" ); document.write( "together Tom and Jared sell 85 cups of hot chocolate at the football game. Jared sells 7 more cups than Tom. How many do they each sell? \r
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\n" ); document.write( "\n" ); document.write( "Solution 1. One equation in one unknown\r
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document.write( "Let T = the number of cups Tom sold.\r\n" );
document.write( "Then the number of cups Jared sold was (85-T).\r\n" );
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document.write( "The condition says that\r\n" );
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document.write( "(85-T) = T + 7.\r\n" );
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document.write( "Simplify and solve:\r\n" );
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document.write( "85 - T = T + 7  --->  85 - 7 = 2T  --->  2T = 78  --->  T =  = 39.\r\n" );
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document.write( "Answer.  Tom sold 46 cups.  Jared sold  T + 7 = 39 + 7 = 46.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solution 2. The system of two equations in two unknowns.\r
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document.write( "Let T = the number of cups Tom sold,\r\n" );
document.write( "    J = the number of cups Jared sold.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "J + T = 85,    (1)\r\n" );
document.write( "J - T =  7.    (2)\r\n" );
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document.write( "Add equations (1) and (2). You will get \r\n" );
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document.write( "2J = 85 + 7  --->  2J = 92  --->  J =  = 46.\r\n" );
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document.write( "You get the same answer.\r\n" );
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