document.write( "Question 972224: If the average of 27-x, x-8, and 3x+11 is y, what is the average of 2y and \"2y%2F3\" in terms of x? \n" ); document.write( "
Algebra.Com's Answer #594597 by Edwin McCravy(20056)\"\" \"About 
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If the average of 27-x, x-8, and 3x+11 is y, what is the average of 2y and \"2y%2F3\" in terms of x?\r
\n" ); document.write( "\n" ); document.write( "...the average of 27-x, x-8, and 3x+11 is y...
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document.write( "To average them, we add them and divide by 3, then set equal to y:\r\n" );
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document.write( "\"%28%2827-x%29%2B%28x-8%29%2B%283x%2B11%29%29%2F3\"\"%22%22=%22%22\"\"y\"\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "\"%2827-x%2Bx-8%2B3x%2B11%29%2F3\"\"%22%22=%22%22\"\"y\"\r\n" );
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document.write( "\"%2830%2B3x%29%2F3\"\"%22%22=%22%22\"\"y\"\r\n" );
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document.write( "\"%283%2810%2Bx%29%29%2F3\"\"%22%22=%22%22\"\"y\"\r\n" );
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document.write( "\"%28cross%283%29%2810%2Bx%29%29%2Fcross%283%29\"\"%22%22=%22%22\"\"y\"\r\n" );
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document.write( "\"10%2Bx\"\"%22%22=%22%22\"\"y\"\r\n" );
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\n" ); document.write( "...what is the average of 2y and \"2y%2F3\" in terms of x?...
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document.write( "First we average \"2y\" and \"2y%2F3\", then we'll substitute 10+x\r\n" );
document.write( "for y:\r\n" );
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document.write( "To average them, we add them and divide by 2:\r\n" );
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document.write( "\"%282y%2B2y%2F3%29%2F2\"\r\n" );
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document.write( "Simplify by Multiplying top and bottom by 3:\r\n" );
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document.write( "\"%283%282y%29%2B3%282y%2F3%29%29%2F%283%2A2%29\"\r\n" );
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document.write( "\"%286y%2B2y%29%2F6\"\r\n" );
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document.write( "\"%288y%29%2F6\"\r\n" );
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document.write( "\"%284y%29%2F3\"\r\n" );
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document.write( "Now we substitute 10+x for y\r\n" );
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document.write( "\"%284%2810%2Bx%29%29%2F3\"\r\n" );
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document.write( "Edwin

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