document.write( "Question 466705: A man bought some tools for a total amount of P90,000. If he had bought 50 more tools, it would have cost him P20 less per piece. How many tools did he buy? \n" ); document.write( "

Algebra.Com's Answer #320002 by stanbon(75887) $\"\"$ $\"About$

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A man bought some tools for a total amount of P90,000. If he had bought 50 more tools, it would have cost him P20 less per piece. How many tools did he buy?
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\n" ); document.write( "Let the original number of tools he bought be \"x\".
\n" ); document.write( "---
\n" ); document.write( "Average cost per tool = 90,000/x
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\n" ); document.write( "Average cost if he had bought 50 more would be
\n" ); document.write( "90,000/(x+50)
\n" ); document.write( "----
\n" ); document.write( "Equation:
\n" ); document.write( "[(90000/x)-(90000/(x+50)] = 20
\n" ); document.write( "---
\n" ); document.write( "90000*50 = 20x(x+50)
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\n" ); document.write( "x^2+50x -225000 = 0
\n" ); document.write( "---
\n" ); document.write( "x = 450 (original # of tools purchased)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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