document.write( "Question 1163060: Hi\r
\n" ); document.write( "\n" ); document.write( "A clothing shop paid $1,620 for suits to be sold at a profit of $15 each. When he had sold all but 9 suits, he had recovered the cost. Assuming that each suit cost the same,how many did he buy and how much did he pay for each one.\r
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Algebra.Com's Answer #787019 by MathTherapy(10556)\"\" \"About 
You can put this solution on YOUR website!
Hi\r
\n" ); document.write( "\n" ); document.write( "A clothing shop paid $1,620 for suits to be sold at a profit of $15 each. When he had sold all but 9 suits, he had recovered the cost. Assuming that each suit cost the same,how many did he buy and how much did he pay for each one.\r
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ONLY 1 variable is necessary here. The more variables used, the more complex this problem becomes, in MOST cases.\r\n" );
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document.write( "Let number he bought be S    \r\n" );
document.write( "Then amount he paid for each suit was: \"%221%2C620%22%2FS\"\r\n" );
document.write( "Amount sold to break-even: S  -  9\r\n" );
document.write( "Since profit on each was $15, then price he sold EACH of the S - 9 for, was \"%221%2C620%22%2FS+%2B+15\"\r\n" );
document.write( "We then get the following BREAK-EVEN equation: \r\n" );
document.write( " ---- FOILing the left-side of equation\r\n" );
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document.write( "\"matrix%281%2C3%2C+15S++-++%2214%2C580%22%2FS++-++135%2C+%22=%22%2C+0%29\"\r\n" );
document.write( "\"matrix%281%2C3%2C+15S%5E2++-++135S+-+%2214%2C580%22%2C+%22=%22%2C+0%29\" ------ Multiplying by LCD, S\r\n" );
document.write( "\"matrix%281%2C3%2C+15%28S%5E2+-+9S+-+972%29%2C+%22=%22%2C+15%280%29%29\" ---- Factoring out GCF, 5\r\n" );
document.write( "\"matrix%281%2C3%2C+S%5E2++-++9S++-++972%2C+%22=%22%2C+0%29\"\r\n" );
document.write( "(S  -  36)(S + 27) = 0\r\n" );
document.write( "S - 36 = 0			                OR	   S + 27 = 0\r\n" );
document.write( "Number of suits he bought, or \"highlight_green%28matrix%281%2C3%2C+S%2C+%22=%22%2C+highlight%2836%29%29%29\"   	OR         S = - 27 (ignore) \r\n" );
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document.write( "Cost of each suit:

\n" ); document.write( "You're right, GREENESTAMPS! Thank you. I made the correction. BTW, your answers are correct, and I've adjusted mine to match yours!
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