document.write( "Question 1120477: Cucumbers are on sale, so you buy 29 pounds of them at the local market for your restaurant. Each cucumber is actually 99% water. A few days later, the cucumbers have dried out to the point that each is now 91% water. How much do all your cucumbers weigh at this time? \n" ); document.write( "

Algebra.Com's Answer #736149 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "The solutions to this problem given by the two respectful tutors @Boreal and @rothauserc are irreparably and fatally wrong.\r
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\n" ); document.write( "\n" ); document.write( "They would be correct, had the dry component of the cucumbers went out with the water at the drying process.\r
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\n" ); document.write( "\n" ); document.write( "But it is not so: the dry component remains in the place.\r
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\n" ); document.write( "\n" ); document.write( "Below find the correct solution.\r
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document.write( "    29 pounds of cucumbers contained initially/originally  0.99*29 = 28.71 pounds of water and 29 - 28.71 = 0.29 of a pound of the dry substance.\r\n" );
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document.write( "    Let w be the amount of the water in cucumbers when their water content is 91%.\r\n" );
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document.write( "    It means that the ratio of the water content \"w\" to the total amount of (0.29+w) pounds is 0.91:\r\n" );
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document.write( "         = 0.91,   or\r\n" );
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document.write( "        w = 0.91*(0.29 + w),\r\n" );
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document.write( "        w - 0.91*w = 0.91*0.29,\r\n" );
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document.write( "        w*0.09 = 0.91*0.29  ====>  w =  = 2.93 pounds.\r\n" );
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document.write( "    Hence, after drying your cucumbers weight  0.29 + 2.93 = 3.22 pounds.\r\n" );
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document.write( "    Answer.  After drying your cucumbers weight  3.22 pounds.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Absolutely unexpected result ?   -   Yes, I totally agree.\r
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\n" ); document.write( "\n" ); document.write( "Let's check the final water content.   It is   2.93/3.22 = 0.91.       ! Correct !
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\n" ); document.write( "\n" ); document.write( "It is a classic entertainment problem, which leads to very unexpected answer.\r
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\n" ); document.write( "\n" ); document.write( "Specially for such problems, I developed the lesson \r
\n" ); document.write( "\n" ); document.write( "    - Problems on percentage that lead to unexpected results\r
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\n" ); document.write( "\n" ); document.write( "I am glad to use this opportunity to teach you on how to solve such problems correctly.\r
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