document.write( "Question 1104261: Two persons A and B have 30 sheeps between them.They sell them at different price but each receives the same amount.If A had sold his at B's price,he could have received RS 3200 and If B had Sold his at A's price ,he would have received Rs 2450.How many Sheeps belonged to each? \n" ); document.write( "

Algebra.Com's Answer #719002 by josgarithmetic(39617) $\"\"$ $\"About$

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document.write( "SHEEP   PRICE SELL   REVENUE    IF SWITCHED PRICES\r\n" );
document.write( "A         a           Aa          Ab=3200\r\n" );
document.write( "B         b           Bb          Ba=2450\r\n" );
document.write( "30\r\n" );
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document.write( "As sold, Aa=Bb\r\n" );
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\n" ); document.write( "\n" ); document.write( "The description analyzed and tabulated gives four unknown variables and four equations.\r
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\n" ); document.write( "\n" ); document.write( " $\"system%28A%2BB=30%2CAa=Bb%2CAb=3200%2CBa=2450%29\"$ for sheep counts A and B, corresponding to how many each person had, and a and b, the prices at which each sold sheep.\r
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\n" ); document.write( "\n" ); document.write( "Last two equations give $\"b=3200%2FA\"$ , and $\"a=2450%2FB\"$ .
\n" ); document.write( "Substitute into the Equal Revenue equation, and then simplify, gives
\n" ); document.write( " $\"A%5E2=%2864%2F49%29B%5E2\"$ .\r
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\n" ); document.write( "\n" ); document.write( "Revised system of equations just in A and B can be
\n" ); document.write( " $\"system%28A%2BB=30%2CA%5E2=%2864%2F49%29B%5E2%29\"$ --------Solve the system. \n" ); document.write( "

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