document.write( "Question 1010058: Water makes up 96% of the weight of a cucumber. When a cucumber is left out in the sun, some water evaporates, and water then makes up 95% of the weight of the sun dried cucumber.\r
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Algebra.Com's Answer #625576 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "Water makes up 96% of the weight of a cucumber. When cucumber is left out in the sun, some water evaporates,
\n" ); document.write( "and water then makes up 95% of the weight of the sun dried cucumber.
\n" ); document.write( "What percentage of its original weight does the cucumber lose when the water evaporates?
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document.write( "Let assume that the initial weight (mass) was 100 kg of cucumbers. (It is better to say \"mass\").\r\n" );
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document.write( "It means that the content of water initially was 96 kilograms. Respectively, the mass of the solid part (\"the fiber\") was 4 kilograms. \r\n" );
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document.write( "After drying, when the water partly went out, we have the same mass of the fiber of 4 kg, and some new mass of remaining water, \r\n" );
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document.write( "let say w kilograms. According to the condition, the equation for w after drying is\r\n" );
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document.write( " = 0.95.\r\n" );
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document.write( "Let us solve it. For it, multiply both sides by (4+w). You will get\r\n" );
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document.write( "w = 4*0.95 + 0.95w,   or\r\n" );
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document.write( "w*(1-0.95) = 4*0.95,   or\r\n" );
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document.write( "0.05*w = 4*0.95.\r\n" );
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document.write( "Hence, w =  = 4*19 = 76 kg.\r\n" );
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document.write( "OK, very good. Then new mass of the cucumbers after drying is 76 + 4 = 80 kilograms.\r\n" );
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document.write( "Thus the vegetable does lose 20% of its initial mass: indeed,  = 20%.\r\n" );
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document.write( "It is unexpected result. But this is well known fact.\r\n" );
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