document.write( "Question 1186459: How much coffee costing P40 per kilo must be added to 150 kilos costing P48 per kilo to make a mixture costing P45 per kilo? \n" ); document.write( "

Algebra.Com's Answer #817367 by ikleyn(52800) $\"\"$ $\"About$

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\n" ); document.write( "How much coffee costing P40 per kilo must be added to 150 kilos costing P48 per kilo to make a mixture costing P45 per kilo?
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document.write( "x = kilograms to add.\r\n" );
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document.write( "Money equation\r\n" );
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document.write( "    40*x + 48*150 = 45*(150+x)\r\n" );
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document.write( "From the equation\r\n" );
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document.write( "    40x + 48*150 = 45*150 + 45x\r\n" );
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document.write( "    48*150 - 45*150 = 45x - 40x\r\n" );
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document.write( "    (48 - 45)*150   =    5x\r\n" );
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document.write( "       3*150        =    5x\r\n" );
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document.write( "         x          =  = 3*30 = 90.\r\n" );
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document.write( "ANSWER.  90 kilograms to add.\r\n" );
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document.write( "CHECK.   Ingredients cost  40*90 + 48*150 = 10800.\r\n" );
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document.write( "         Mixture     cost  45*(150+90) = 10800,  the same amount of money.   ! Correct !\r\n" );
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