document.write( "Question 1016911: Fresh cranberries have 99% of water. Partially dried cranberries have 98% of water. Jack picked 100 lbs of cranberries. How much will they weigh after drying?\r
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Algebra.Com's Answer #633429 by ikleyn(52782) $\"\"$ $\"About$

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\n" ); document.write( "Fresh cranberries have 99% of water. Partially dried cranberries have 98% of water. Jack picked 100 lbs of cranberries.
\n" ); document.write( "How much will they $\"highlight%28cross%28weigh%29%29\"$ weight after drying?
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document.write( "100 lbs of cranberries contain 99% of water, i.e. 99 lbs of water, according to the first part of the condition. \r\n" );
document.write( "And only 1 lbs of dry fiber.\r\n" );
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document.write( "At the drying process, part of water evaporates and goes out.\r\n" );
document.write( "The other part of water still remains in the partly dried cranberries. \r\n" );
document.write( "Together with 1 lbs of the dry fiber, of course.\r\n" );
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document.write( "Let w be the weight of the water remained in the 98% partly dried cranberries.\r\n" );
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document.write( "Then you have this proportion\r\n" );
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document.write( " = 0.98\r\n" );
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document.write( "to find the amount of water in the 98% partly dried cranberries.\r\n" );
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document.write( "Let us solve it. For it, multiply both sides of the equation by (1+w) to get off the denominator. You will get\r\n" );
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document.write( "w = 0.98*(1 + w)   --->   w = 0.98 + 0.98w  --->  w - 0.98w =0.98  --->  0.02w = 0.98  --->  w =  = 49.\r\n" );
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document.write( "So, after drying, the water content is 49 lbs in the cranberries that contain 98% water.\r\n" );
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document.write( "Add 1 lbs of the dry fiber, and you will have the total weight of 50 lbs partly dried cranberries.\r\n" );
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document.write( "Unexpected result ?\r\n" );
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document.write( "O, yes. Nevertheless, it is true.\r\n" );
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document.write( "And it is very well known fact.\r\n" );
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document.write( "As well as very old well known problem, which produces such unexpected result.\r\n" );
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document.write( "See the lesson \r\n" );
document.write( "http://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Problems-on-percentage-that-lead-to-unexpected-results.lesson \r\n" );
document.write( "in this site, where you will find other similar problems.\r\n" );
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