document.write( "Question 1173925: A trader buys some eggs at 6naira each. She finds out that six of them are broken, she sells the rest at 10naira each and makes a profit of 160. How many eggs did she buy? \n" ); document.write( "

Algebra.Com's Answer #799246 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "A trader buys some eggs at 6naira each. She finds out that six of them are broken,
\n" ); document.write( "she sells the rest at 10naira each and makes a profit of 160. How many eggs did she buy?
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document.write( "Let n be the number of eggs she bought.\r\n" );
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document.write( "Then we have this equation\r\n" );
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document.write( "    Profit = Revenue - Cost;\r\n" );
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document.write( "    Profit = 160;  Cost = 6n;  Revenue = 10*(n-6);\r\n" );
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document.write( "       +---------------------------+\r\n" );
document.write( "       |    160 = 10*(n-6) - 6n.   |\r\n" );
document.write( "       +---------------------------+\r\n" );
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document.write( "Simplify it\r\n" );
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document.write( "    160 = 10n - 60 - 6n\r\n" );
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document.write( "    160 + 60 = 4n\r\n" );
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document.write( "      220    = 4n\r\n" );
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document.write( "       n     = 220/4 = 55.\r\n" );
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document.write( "ANSWER.  She bought 55 eggs.\r\n" );
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document.write( "CHECK,   10*(55-6) = 10*49 = 490;   6n = 6*55 = 330;   490 - 330 = 160  (profit).   ! Correct !\r\n" );
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