document.write( "Question 1142738: A company has an order for 810 suits, another company has to make 900 suits in the same period of time. The first company has completed its task 3 days ahead of time and the second company 6 days ahead of time. How many suits does each company produce per day, if the second company makes 4 suits per day more than the first? \n" ); document.write( "

Algebra.Com's Answer #763469 by ikleyn(52787) $\"\"$ $\"About$

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document.write( "Let x be the number of suits that the first company produces per day.\r\n" );
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document.write( "Then the number of suits that the second company produces per day is (x+4), according to the condition.\r\n" );
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document.write( "The first company completed its order in    days.\r\n" );
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document.write( "The second company completed its order in   days.\r\n" );
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document.write( "The difference is 6-3 = 3 days.\r\n" );
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document.write( "     -  = 3   days.\r\n" );
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document.write( "The setup is completed.\r\n" );
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document.write( "To solve the equation, multiply both sides by x*(x+4)\r\n" );
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document.write( "    810*(x+4) - 900x = 3x*(x+4)\r\n" );
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document.write( "    810x + 3240 - 900x = 3x^2 + 12x\r\n" );
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document.write( "    3x^2 + 102x - 3240 = 0\r\n" );
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document.write( "    x^2  + 34x - 1080 = 0\r\n" );
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document.write( "     =  = .\r\n" );
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document.write( "Only positive root  x =  = 20 makes sense.\r\n" );
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document.write( "ANSWER.  20 suits per day for the first company and 20+4 = 24 suits per day for the second company.\r\n" );
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document.write( "CHECK.    -  = 40.5 - 37.5 = 3 days.   ! Correct !\r\n" );
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