document.write( "Question 1196061: 1. A shopkeeper buys a certain number of bottles of mayonnaise for R100, she sells all except for ten of them which broke while being unpacked, making a profit of R50.00 If she sold each bottle R10.oo more than she originally paid for it
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Algebra.Com's Answer #828749 by ikleyn(52778) $\"\"$ $\"About$

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\n" ); document.write( "A shopkeeper buys a certain number of bottles of mayonnaise for R100, $\"highlight%28in_total%29\"$ .
\n" ); document.write( "She sells all except for ten of them which broke while being unpacked,
\n" ); document.write( "making a profit of R50.00 If she sold each bottle R10.00 more than she originally paid for it
\n" ); document.write( "1.1. How much did $\"highlight%28cross%28he%29%29\"$ she pay for one bottle?
\n" ); document.write( "1.2. how much did $\"highlight%28cross%28he%29%29\"$ she sell each
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document.write( "Let n be the number of bottles she bought for R100.\r\n" );
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document.write( "Then the price she paid for each single bottle was .\r\n" );
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document.write( "She sold (n-10) bottles for R100 + R50 = R150, in total.\r\n" );
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document.write( "The price she sold each bottle was  .\r\n" );
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document.write( "The difference between prices was R10\r\n" );
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document.write( "     -  = 10.\r\n" );
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document.write( "The setup is done.\r\n" );
document.write( "To solve this equation, multiply both sides by n*(n-10), then simplify\r\n" );
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document.write( "    150n - 100*(n-10) = 10n*(n-10)\r\n" );
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document.write( "    150n - 100n + 1000 = 10n^2 - 100n\r\n" );
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document.write( "    10n^2 - 150n - 1000 = 0\r\n" );
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document.write( "      n^2 - 15n  - 100 = 0\r\n" );
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document.write( "      (n-20)*(n+5) = 0.\r\n" );
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document.write( "Of two roots, 20 and -5, we select positive value n=20 for the number of bottles that she bought.\r\n" );
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document.write( "Then the price at which she bought each bottle was 100/20 = R5.          ANSWER\r\n" );
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document.write( "The price      at which she sold   each bottle was R5 + R10 = R15.       ANSWER\r\n" );
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