document.write( "Question 26693: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance, and therefore the cost of food for each member increased by $5. How many students attended the get-together?\r
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Algebra.Com's Answer #14505 by Paul(988) $\"\"$ $\"About$

You can put this solution on YOUR website!
Normal = x
\n" ); document.write( "When 5 students failed = x-5
\n" ); document.write( "Total = 500
\n" ); document.write( "Increased by 5 = +5
\n" ); document.write( " $\"500%2Fx-500%2F%28x-5%29=5\"$
\n" ); document.write( "500[(x)-(x-5)]=5[(x)(x-5)]
\n" ); document.write( " $\"500%285%29=5%28x%5E2-5x%29\"$
\n" ); document.write( " $\"2500=5x%5E2-25x\"$
\n" ); document.write( " $\"5x%5E2-25x-2500\"$
\n" ); document.write( " $\"x%5E2-5x-500=0%2Cx\"$
\n" ); document.write( "Facotr the quadratic equation:
\n" ); document.write( "(x+20)(x-25)
\n" ); document.write( "x=-20 and x= 25
\n" ); document.write( "Remove the negative. And:
\n" ); document.write( "Hence, the total number of students were 25.
\n" ); document.write( "Paul.
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