document.write( "Question 596151: For a special event at the TCR spring fest, the cost of 3 adult tickets and 4 student tickets was $84 and the cost of 4 adult tickets and 2 student tickets was $62. find the admission price for an adult ticket and for a student ticket at the spring fest. \n" ); document.write( "

Algebra.Com's Answer #377546 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the cost of an adult ticket
\n" ); document.write( "Let $\"+s+\"$ = the cost of a student ticket
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+3a+%2B+4s+=+84+\"$
\n" ); document.write( "(2) $\"+4a+%2B+2s+=+62+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (2) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+8a+%2B+4s+=+124+\"$
\n" ); document.write( "(1) $\"+-3a+-+4s+=+-84+\"$
\n" ); document.write( " $\"+5a+=+40+\"$
\n" ); document.write( " $\"+a+=+8+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(2) $\"+4a+%2B+2s+=+62+\"$
\n" ); document.write( "(2) $\"+32+%2B+2s+=+62+\"$
\n" ); document.write( "(2) $\"+2s+=+30+\"$
\n" ); document.write( "(2) $\"+s+=+15+\"$
\n" ); document.write( "An adult ticket is $8
\n" ); document.write( "A student ticket is $15
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+3%2A8+%2B+4%2A15+=+84+\"$
\n" ); document.write( "(1) $\"+24+%2B+60+=+84+\"$
\n" ); document.write( "(1) $\"+84+=+84+\"$
\n" ); document.write( "OK \n" ); document.write( "

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