document.write( "Question 1109593: Amy's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 10 senior citizen tickets and 1 student ticket for a total of $54. The school took in $74 on the second day by selling 1 senior citizen ticket and 5 student tickets. Find the price of a senior citizen ticket and the price of a student ticket \n" ); document.write( "
Algebra.Com's Answer #724577 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = the price of a senior ticket
\n" ); document.write( "Let \"+b+\" = the price of a student ticket
\n" ); document.write( "-------------------------------------------
\n" ); document.write( "(1) \"+10a+%2B1%2Ab+=+54+\"
\n" ); document.write( "(2) \"+1%2Aa+%2B+5b+=+74+\"
\n" ); document.write( "--------------------------
\n" ); document.write( "Multiply both sides of (1) by \"+5+\"
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) \"+50a+%2B+5b+=+270+\"
\n" ); document.write( "(2) \"+-a+-+5b+=+-74+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "\"+49a+=+196+\"
\n" ); document.write( "\"+a+=+4+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+10%2A4+%2B+b+=+54+\"
\n" ); document.write( "(1) \"+40+%2B+b+=+54+\"
\n" ); document.write( "(1) \"+b+=+14+\"
\n" ); document.write( "----------------------------
\n" ); document.write( "A senior ticket costs $4
\n" ); document.write( "A student ticket costs $14
\n" ); document.write( "----------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+a+%2B+5b+=+74+\"
\n" ); document.write( "(2) \"+4+%2B+5%2A14+=+74+\"
\n" ); document.write( "(2) \"+4+%2B+70+=+74+\"
\n" ); document.write( "(2) \"+74+=+74+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );