document.write( "Question 736206: In a a heated game of kickball, the third graders won by 16 points over the fourth graders.
\n" ); document.write( "The total points scored were 38 how many points did each team score? \n" ); document.write( "

Algebra.Com's Answer #852643 by ikleyn(53750) $\"\"$ $\"About$

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\n" ); document.write( "In a heated game of kickball, the third graders won by 16 points over the fourth graders.
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document.write( "Let  x  be the points of third graders, and\r\n" );
document.write( "let  y  be the points of fourth graders.\r\n" );
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "    x + y = 38,     (1)\r\n" );
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document.write( "    x - y = 16.     (2)\r\n" );
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document.write( "Add equations (1) and (2).  The terms with 'y' will cancel each other, and you get\r\n" );
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document.write( "    2x = 38 + 16 = 54  --->  x = 54/2 = 27.\r\n" );
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document.write( "Subtract equation (2) from equation (1).  The terms with 'x' will cancel each other, and you will get\r\n" );
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document.write( "    2y = 38 - 16 = 22  --->  y = 22/2 = 11.\r\n" );
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document.write( "ANSWER.  Three-graders scored 27 points;  four-graders scored 11 points.\r\n" );
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