document.write( "Question 671630: The cost of a project is 14,850,000 the tax needed was calculated using census data, but a mistake showed that the population is actually 2200 people more which will reduce the tax needed per person by $75. What is the population?\r
\n" ); document.write( "\n" ); document.write( "I thought 14,850,000/(p+220) = 14,850,000/p - 75\r
\n" ); document.write( "\n" ); document.write( "and then tried to solve for p using LCD but it did not work out.
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Algebra.Com's Answer #417500 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Looks like the right equation
\n" ); document.write( "\"+14850000+%2F+%28+p+%2B+2200+%29+=+14850000+%2F+p+-+75+\"
\n" ); document.write( "Multiply both sides by \"+p%2A%28+p+%2B+2200+%29+\"
\n" ); document.write( "\"+14850000p+=+14850000%2A%28+p+%2B+2200+%29+-+75p%2A%28+p+%2B+2200+%29+\"
\n" ); document.write( "\"+14850000p+=+14850000p+%2B+2200%2A14850000+-+75p%5E2+-+165000p+%29+\"
\n" ); document.write( "\"+75p%5E2+%2B+165000p+-+32670000000+=+0+\"
\n" ); document.write( "Divide through by \"+75+\"
\n" ); document.write( "\"+p%5E2+%2B+2200p+=+435600000+\"
\n" ); document.write( "Complete the square
\n" ); document.write( "\"+p%5E2+%2B+2200p+%2B+%28+2200%2F2+%29%5E2+=+435600000+%2B+%28+2200%2F2+%29%5E2+\"
\n" ); document.write( "\"+p%5E2+%2B+2200p+%2B+121000+=+435600000+%2B+121000+\"
\n" ); document.write( "\"+p%5E2+%2B+2200p+%2B+121000+=+435721000+\"
\n" ); document.write( "\"+%28+p+%2B+1100+%29%5E2+=+435721000+\"
\n" ); document.write( "\"+p+%2B+110+=+20873.9+\"
\n" ); document.write( "\"+p+=+20764+\"
\n" ); document.write( "--------------
\n" ); document.write( "check answer:
\n" ); document.write( "\"+14850000+%2F+%28+p+%2B+2200+%29+=+14850000+%2F+p+-+75+\"
\n" ); document.write( "\"+14850000+%2F+%28+20763.9+%2B+2200+%29+=+14850000+%2F+20763.9+-+75+\"
\n" ); document.write( "\"+14850000+%2F+22963.9+=+14850000+%2F+20763.9+-+75+\"
\n" ); document.write( "\"+646.66716+=+715.18356+-+75+\"
\n" ); document.write( "\"+646.66716+=+640.18356+\"
\n" ); document.write( "this is close, but I went off somewhere
\n" ); document.write( "maybe you can see it.
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