document.write( "Question 83365This question is from textbook Algebra: Structure and Method, Book 1
\n" ); document.write( ": there are 26 times as many students at Lincoln high school as teachers. When all the teachers and students are seated in the 900 seat school auditorium, only 9 seats are unoccupied. How many students are at Lincoln high? \n" ); document.write( "

Algebra.Com's Answer #59859 by bucky(2189) $\"\"$ $\"About$

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If the 900 seat auditorium has only 9 unoccupied seats when all the teachers and students
\n" ); document.write( "are seated, that means that the combined population of teachers and students is 900 - 9 = 891
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\n" ); document.write( "Let T equal the number of teachers. The problem tells you that there are 26 times T students.
\n" ); document.write( "Add these two amounts together and, according to the problem, the result should be 891.
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\n" ); document.write( "The equation becomes:
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\n" ); document.write( "T + 26*T = 891
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\n" ); document.write( "Combine the two terms on the left side to get:
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\n" ); document.write( "27T = 891
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\n" ); document.write( "Solve for T by dividing both sides of the equation by 27, the multiplier of T to get:
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\n" ); document.write( "T = 891/27 = 33
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\n" ); document.write( "So now you know that Lincoln high school has 33 teachers. You can solve for the number of
\n" ); document.write( "students by either subtracting 33 from the total population of 891 to get 858 students,
\n" ); document.write( "or you can multiply 26 times 33 which gives you the same answer of 858 students.
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\n" ); document.write( "Hope this helps you to understand the problem.
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