document.write( "Question 878153: Melvin needs to set up 182\" chairs in a rectangular pattern for a convention. The number of rows is 19 less than three times the number of chairs in a row. How many rows does he need and how many chairs in each row? (Find solutions, rows, and chairs in row)
\n" ); document.write( "Rows= 3x-19
\n" ); document.write( "Chairs in row= x
\n" ); document.write( "So far I have x(3x-19)=3x^2-19x+1820 the solutions I got were 3.167-24 and 3.167+24. Is this correct? If not I need the solutions, rows, and chairs in row. \n" ); document.write( "

Algebra.Com's Answer #529888 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
No, you need to have an integer solution.
\n" ); document.write( "Let R be the number of rows, C the number of chair in a row.
\n" ); document.write( " $\"RC=1820\"$
\n" ); document.write( " $\"R=3C-19\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%283C-19%29C=1820\"$
\n" ); document.write( " $\"3C%5E2-19C-1820=0\"$ <-- Your sign on the constant is wrong.
\n" ); document.write( "You can factor this equation,
\n" ); document.write( " $\"%283C%2B65%29%28C-28%29=0\"$
\n" ); document.write( "The negative solution doesn't make sense in this problem.
\n" ); document.write( " $\"C-28=0\"$
\n" ); document.write( " $\"highlight%28C=28%29\"$
\n" ); document.write( " $\"R=1820%2F28\"$
\n" ); document.write( " $\"highlight%28R=65%29\"$
\n" ); document.write( " \n" ); document.write( "

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