document.write( "Question 540652: University Theatre sold 493 tickets for a play. Tickets cost $23 per adult and $14 per senior citizen. If total receipts were $8270, how many senior citizen tickets were sold?\r
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document.write( "Can you please show me step by step so i know how to solve it?
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document.write( "Thanks \n" );
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Algebra.Com's Answer #353795 by Mathpassionate(25)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "A = tickets sold for adults \n" ); document.write( "C = tickets sold for Senior citizens\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Information provided:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T = Total tickets sold \n" ); document.write( "T = 493\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "23A = money got from selling tickets for adults \n" ); document.write( "14C = money got from selling tickets for Seniors\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "23A + 14C = 8270\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We know that \"tickets sold for adults\" + \"tickets sold for Senior citizens\" = \"Total tickets sold\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A + C = T \n" ); document.write( "A + C = 493\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We work out \"A\" from the previous equation:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 493 - C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, substitute \"A = 493 - C\" into \"23A + 14C = 8270\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "23*(493-C) + 14C = 8270 \n" ); document.write( "11339 -23C + 14C = 8270 \n" ); document.write( "11339 -9C = 8270 \n" ); document.write( "11339 - 8270 = 9C \n" ); document.write( "3069 = 9C \n" ); document.write( "3069/9 = C \n" ); document.write( "C = 341\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The answer is that: 341 tickets for Senior Citizens were sold.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If we need the total tickets sold for Adults, just substitute \"C = 341\" into \"A = 493 - C\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 493 - C \n" ); document.write( "A = 493 - 341 \n" ); document.write( "A = 152\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you have any questions, please let me know. \n" ); document.write( "Email: AREVALOGABRIEL2@GMAIL.COM\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |