document.write( "Question 1114722: you decide to make homemade dried apricots and purchased 10 pounds of fresh apricots at the farmer's market. when the apricots were fresh, 85% of their weight was water. after 12 hours of drying in your excalibur dehydrator, a test showed that the water content of the apricots was now 25% by weight. how many pounds did the apricots weigh after 12 hours in the dehydrator \n" ); document.write( "

Algebra.Com's Answer #729626 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "We are given that \r\n" );
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document.write( "0.85*10 = 8.5 pounds is the water content in 10 pounds of fresh apricots before drying. Hence, 1.5 pounds is the fiber mass with no water.\r\n" );
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document.write( "Let x be the water content in the apricots after drying. Then the condition says that\r\n" );
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document.write( " = 0.25.\r\n" );
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document.write( "Simplify and solve this equation for x:\r\n" );
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document.write( "x = 0.25x + 0.25*1.5\r\n" );
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document.write( "x - 0.25x = 0.25*1.5  ====>  0.75x = 0.25*1.5  ====>  x =  = 0.5.\r\n" );
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document.write( "Thus the water content in the dried apricots is 0.5 pound.\r\n" );
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document.write( "With  1.5 pounds of the dry part it is 1.5 + 0.5 = 2 pounds altogether.\r\n" );
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document.write( "Now the answer to the question  \"how many pounds did the apricots weigh after 12 hours in the dehydrator\"  is  2 pounds.\r\n" );
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