document.write( "Question 1086340: Lee spent $1200 on holiday. If he had spent $50 less per day, he would have been able to stay an extra two days. How long was his holiday? \n" ); document.write( "

Algebra.Com's Answer #700523 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think this problem is assuming Lee
\n" ); document.write( "spends the same amount each day
\n" ); document.write( "Let $\"+d+\"$ = the number of days he actually stays
\n" ); document.write( " $\"+1200%2Fd+\"$ = the amount he actully spent each day
\n" ); document.write( "--------------------------------------------------
\n" ); document.write( " $\"+1200+=+%28+1200%2Fd+-+50+%29%2A%28+d+%2B+2+%29+\"$
\n" ); document.write( " $\"+1200+=+1200+-+50d+%2B+2400%2Fd+-+100+\"$
\n" ); document.write( " $\"+2400%2Fd+=+50d+%2B+100+\"$
\n" ); document.write( " $\"+2400+=+50d%5E2+%2B+100d+\"$
\n" ); document.write( " $\"+48+=+d%5E2+%2B+2d+\"$
\n" ); document.write( "complete the square
\n" ); document.write( " $\"+d%5E2+%2B+2d+%2B+1+=+48+%2B+1+\"$
\n" ); document.write( " $\"+%28+d+%2B+1+%29%5E2+=+49+\"$
\n" ); document.write( " $\"+d+%2B+1+=+7+\"$
\n" ); document.write( " $\"+d+=+6+\"$
\n" ); document.write( " $\"+d+=+6+\"$
\n" ); document.write( "His holiday was 6 days
\n" ); document.write( "-------------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+1200+=+%28+1200%2Fd+-+50+%29%2A%28+d+%2B+2+%29+\"$
\n" ); document.write( " $\"+1200+=+%28+1200%2F6+-+50+%29%2A%28+6+%2B+2+%29+\"$
\n" ); document.write( " $\"+1200+=+%28+200+-+50+%29%2A8+\"$
\n" ); document.write( " $\"+1200+=+150%2A8+\"$
\n" ); document.write( " $\"+1200+=+1200+\"$
\n" ); document.write( "OK \n" ); document.write( "

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