document.write( "Question 237454: A total of 450 theater tickets were sold. Student tickets sold for $3 and adult tickets sold for $5. If total receipts were $2000, how many of each kind were sold? \n" ); document.write( "

Algebra.Com's Answer #174618 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( "given:
\n" ); document.write( "(1) $\"a+%2B+b+=+450\"$
\n" ); document.write( "(2) $\"3a+%2B+5b+=+2000\"$
\n" ); document.write( "Multiply both sides of (1) by $\"3\"$ and
\n" ); document.write( "subtract (1) from (2)
\n" ); document.write( "(2) $\"3a+%2B+5b+=+2000\"$
\n" ); document.write( "(1) $\"-3a+-3b+=+1350\"$
\n" ); document.write( " $\"2b+=+650\"$
\n" ); document.write( " $\"b+=+325\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"a+%2B+b+=+450\"$
\n" ); document.write( "(1) $\"a+%2B+325+=+450\"$
\n" ); document.write( " $\"a+=+450+-+325\"$
\n" ); document.write( " $\"a+=+125\"$
\n" ); document.write( "125 student tickets and 325 adult tickets were sold
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"3a+%2B+5b+=+2000\"$
\n" ); document.write( " (2) $\"3%2A125+%2B+5%2A325+=+2000\"$
\n" ); document.write( " $\"375+%2B+1625+=+2000\"$
\n" ); document.write( " $\"2000+=+2000\"$
\n" ); document.write( "OK \n" ); document.write( "

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