document.write( "Question 732158: The tickets in a raffle are numbered 1, 2, 3, and so on. The price of a ticket is the number of cents equal to the number of the ticket. If the raffled article cost $100, what is the least number of tickets that must be sold so that those conducting the raffle will not lose money? \n" ); document.write( "

Algebra.Com's Answer #447575 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
It is an AP\r
\n" ); document.write( "\n" ); document.write( "a=1
\n" ); document.write( "d=1
\n" ); document.write( "Sn=$100= 10000 cents\r
\n" ); document.write( "\n" ); document.write( "Sn=n/2[2a+(n-1)d]\r
\n" ); document.write( "\n" ); document.write( "10000=n/2[2+n-1]
\n" ); document.write( "20000=n^2+n\r
\n" ); document.write( "\n" ); document.write( "n^2+n-20000=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
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\n" ); document.write( "a= 1 , b= 1 , c= -20000
\n" ); document.write( "
\n" ); document.write( "b^2-4ac= 1 + 80000
\n" ); document.write( "b^2-4ac= 80001
\n" ); document.write( " $\"%09sqrt%28%0980001%09%29=%09282.84%09\"$
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x1=( -1 + 282.84 )/ 2
\n" ); document.write( "x1= 140.92
\n" ); document.write( " $\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( "x2=( -1 -282.84 ) / 2
\n" ); document.write( "x2= -141.92
\n" ); document.write( "Ignore negative value Minimum tickets to be sold = 141 tickets
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\n" ); document.write( "m.ananth@hotmail.ca
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