document.write( "Question 1116185: The senior class at a high school had a banquet that cost $150. If there had been one 5 persons less, the cost would have been $1.00 more. how many persons were at the banquet? \n" ); document.write( "
Algebra.Com's Answer #731073 by MathTherapy(10552)\"\" \"About 
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The senior class at a high school had a banquet that cost $150. If there had been one 5 persons less, the cost would have been $1.00 more. how many persons were at the banquet?
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This is a SIMPLE math problem, and should be just that!!
\n" ); document.write( "Let the number of people at the banquet be N
\n" ); document.write( "Then cost to each would be: \"150%2FN\"
\n" ); document.write( "If there were 5 less people, then the count would be N - 5
\n" ); document.write( "We then get the following per person cost-equation: \"matrix%281%2C3%2C+150%2FN%2C+%22=%22%2C+150%2F%28N+-+5%29+%2B+1%29\"
\n" ); document.write( "150(N - 5) = 150N + N(N - 5) ------- Multiplying by LCD, N(N - 5)
\n" ); document.write( "\"matrix%281%2C3%2C+150N+-+750%2C+%22=%22%2C+150N+%2B+N%5E2+-+5N%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+N%5E2+-+5N+%2B+150N+-+150N+%2B+750%2C+%22=%22%2C+0%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+N%5E2+-+5N+%2B+750%2C+%22=%22%2C+0%29\"
\n" ); document.write( "(N - 30)(N + 25) = 0
\n" ); document.write( "N, or number of people at the banquet = \"highlight_green%2830%29\" OR N = - 25 (ignore) \n" ); document.write( "
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