document.write( "Question 1150324: tickets to a school basketball game cost $4 for students and $7 for adults. At the end of the night, 168 tickets are sold for a total of $861. How many student tickets were sold \n" ); document.write( "

Algebra.Com's Answer #771699 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = number of student tickets sold
\n" ); document.write( "Let $\"+b+\"$ = number of adult tickets sold
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+168+\"$
\n" ); document.write( "(2) $\"+4a+%2B+7b+=+861+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+4+\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"+4a+%2B+7b+=+861+\"$
\n" ); document.write( "(1) $\"+-4a+-+4b+=+-672+\"$
\n" ); document.write( "------------------------------
\n" ); document.write( " $\"+3b+=+189+\"$
\n" ); document.write( " $\"+b+=+63+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+%2B+b+=+168+\"$
\n" ); document.write( "(1) $\"+a+%2B+63+=+168+\"$
\n" ); document.write( "(1) $\"+a+=+105+\"$
\n" ); document.write( "105 student tickets were sold
\n" ); document.write( "-----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+4a+%2B+7b+=+861+\"$
\n" ); document.write( "(2) $\"+4%2A105+%2B+7%2A63+=+861+\"$
\n" ); document.write( "(2) $\"+420+%2B+441+=+861+\"$
\n" ); document.write( "(2) $\"+861+=+861+\"$
\n" ); document.write( "OK \n" ); document.write( "

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