document.write( "Question 1159876: The school that Jessica goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 9 senior tickets and 14 child tickets for a total of $227. The school took in $171 on the second day by selling 3 senior tickets and 12 child tickets. What is the price of one senior ticket and one child ticket? \n" ); document.write( "

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\n" ); document.write( "The school that Jessica goes to is selling tickets to the annual dance competition. On the first day of ticket sales the school sold 9 senior tickets and 14 child tickets for a total of $227. The school took in $171 on the second day by selling 3 senior tickets and 12 child tickets. What is the price of one senior ticket and one child ticket?
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Let cost of a senior's and a child's ticket, be S and C, respectively
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document.write( "Then we get: 9S + 14C = 227 ------- eq (i)
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document.write( "Also, 3S + 12C = 171______3(S + 4C) = 3(57)_______S + 4C = 57_____S = 57 - 4C ------ eq (ii)
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document.write( "9(57 - 4C) + 14C = 227 ------ Substituting 57 - 4C for S in eq (i)
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document.write( "513 - 36C + 14C = 227
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document.write( "- 36C + 14C = 227 - 513
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document.write( "- 22C = - 286
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document.write( "Cost of a child's ticket, or 
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document.write( "Now, just substitute 13 for C in eq (ii) and you should be able to find the cost of a senior's ticket. \n" );
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