document.write( "Question 1019852: A restaurant has only two person tables and four person tables. There are 16 tables in all that can seat a maximum of 50 people. How many two person and how many four person tables are there? \n" ); document.write( "
Algebra.Com's Answer #635776 by LinnW(1048)\"\" \"About 
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Let T be the number of two person tables.
\n" ); document.write( "Let F be the number of four person tables.
\n" ); document.write( "T + F = 16
\n" ); document.write( "two times the number of two person tables + 4 times the number of 4 person tables is 50
\n" ); document.write( "2T + 4F = 50
\n" ); document.write( "Working with T + F = 16 , add -T to each side
\n" ); document.write( "F = 16 - T
\n" ); document.write( "Substitute (16 - T) for F in 2T + 4F = 50
\n" ); document.write( "2T + 4(16 - T) = 50
\n" ); document.write( "2T + 64 -4T = 50
\n" ); document.write( "-2T + 64 = 50
\n" ); document.write( "add -64 to each side
\n" ); document.write( "-2T = -14
\n" ); document.write( "Divide each side by -2
\n" ); document.write( "T = 7
\n" ); document.write( "Since F = 16 - T , F = 16 - 7 , F = 9
\n" ); document.write( "Let's check our original equations.
\n" ); document.write( "T + F = 16 , 7 + 9 = 16 so this checks out
\n" ); document.write( "2T + 4F = 50 , 2(7) + 4(9) = 50 , 14 + 36 = 50 so this one works.
\n" ); document.write( "We have 7 two person tables, and 9 four person tables. \n" ); document.write( "
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