document.write( "Question 264213: A choir is singing in a festival. On the first night 12 people were absent so they stood in 5 equal rows. On the second night only 1 was absent so they stood in 6 equal rows. The same number of people stood in each row each night. How many people are in the choir?\r
\n" ); document.write( "\n" ); document.write( "5-12x 6-1x \n" ); document.write( "
Algebra.Com's Answer #194863 by ankor@dixie-net.com(22740)\"\" \"About 
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A choir is singing in a festival.
\n" ); document.write( " On the first night 12 people were absent so they stood in 5 equal rows.
\n" ); document.write( " On the second night only 1 was absent so they stood in 6 equal rows.
\n" ); document.write( " The same number of people stood in each row each night.
\n" ); document.write( " How many people are in the choir?
\n" ); document.write( ":
\n" ); document.write( "Let x = no. of people in the choir
\n" ); document.write( "Let r = no. of people in each row (same both nights)
\n" ); document.write( ":
\n" ); document.write( "x - 1 = 6r; 2nd night
\n" ); document.write( "x -12 = 5r; 1st night
\n" ); document.write( "-------------------------subtraction eliminates x, find r
\n" ); document.write( "0 + 11 = r
\n" ); document.write( "11 people in each row both nights
\n" ); document.write( ":
\n" ); document.write( "Find x
\n" ); document.write( "x - 12 = 5(11)
\n" ); document.write( "x = 55 + 12
\n" ); document.write( "x = 67 people in the choir
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\n" ); document.write( "Check solution in the 2nd night equation
\n" ); document.write( "67 - 1 = 6*11
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