document.write( "Question 693290: 300 apples r distributed equally among a certain no of stdudents had there been 10 more students each would have recd 1 apple less find number of students. \n" ); document.write( "

Algebra.Com's Answer #427347 by stanbon(75887) $\"\"$ $\"About$

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300 apples r distributed equally among a certain no of stdudents had there been 10 more students each would have recd 1 apple less find number of students.
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\n" ); document.write( "Let the original # of students be \"x\";
\n" ); document.write( "300/x = k
\n" ); document.write( "300/(x+10) = k-1
\n" ); document.write( "------
\n" ); document.write( "Substitute for \"k\" and solve for \"x\":
\n" ); document.write( "---
\n" ); document.write( "300/(x+10) = (300/x)-1
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\n" ); document.write( "300/(x+10) = (300-x)/x
\n" ); document.write( "----
\n" ); document.write( "300x = 300x-x^2+3000-10x
\n" ); document.write( "-------
\n" ); document.write( "-x^2-10x+3000 = 0
\n" ); document.write( "---
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 50 (original # of students)
\n" ); document.write( "==================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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