document.write( "Question 179264: The school that lisa goes to is selling tickets to the annual talent show. On the first day the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.00. The school took in $126.00 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket? \n" ); document.write( "

Algebra.Com's Answer #134423 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"c\"$ = price of a senior citizen ticket
\n" ); document.write( "Let $\"s\"$ = the price of a student ticket
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"4c+%2B+5s+=+102\"$
\n" ); document.write( "(2) $\"7c+%2B+5s+=+126\"$
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( " $\"3c+=+24\"$
\n" ); document.write( " $\"c+=+8\"$
\n" ); document.write( "And, from (1)
\n" ); document.write( "(1) $\"4c+%2B+5s+=+102\"$
\n" ); document.write( " $\"4%2A8+%2B+5s+=+102\"$
\n" ); document.write( " $\"5s+=+70\"$
\n" ); document.write( " $\"s+=+14\"$
\n" ); document.write( "One senior ticket was $8 and one student ticket
\n" ); document.write( "was $14
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"7c+%2B+5s+=+126\"$
\n" ); document.write( " $\"7%2A8+%2B+5%2A14+=+126\"$
\n" ); document.write( " $\"56+%2B+70+=+126\"$
\n" ); document.write( " $\"126+=+126\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );