document.write( "Question 773387: Tickets at fantasy land amusement park are 20 dollars for children and 30 dollars for adults. 6th grade students at Midtown middle school have an end-of-year class party at fantasy land. The students buy children tickets and the teachers/chaperones buy adult tickets. Altogether they buy a total of 110 tickets and the total cost is 2,290 dollars. How many of each ticket did they buy?\r
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Algebra.Com's Answer #471561 by ramkikk66(644)\"\" \"About 
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document.write( "Tickets at fantasy land amusement park are 20 dollars for children and 30 dollars for adults. 6th grade students at Midtown middle school have an end-of-year class party at fantasy land. The students buy children tickets and the teachers/chaperones buy adult tickets. Altogether they buy a total of 110 tickets and the total cost is 2,290 dollars. How many of each ticket did they buy?\r\n" );
document.write( "Ans:\r\n" );
document.write( "Let the number of children be x\r\n" );
document.write( "Then the number of adults = 110 - x (since they bought a total of 110 tickets)\r\n" );
document.write( "Cost of children's tickets = 20*x\r\n" );
document.write( "Cost of adult's tickets = (110 - x)*30\r\n" );
document.write( "Total cost = \"20%2Ax+%2B+%28110+-+x%29%2A30+=+2290\"\r\n" );
document.write( "\"20%2Ax+%2B+3300+-+30%2Ax+=+2290\"\r\n" );
document.write( "Simplifying\r\n" );
document.write( "\"10%2Ax+=+3300+-+2290+=+1010\" or \"x+=+101\"\r\n" );
document.write( "Number of children = \"highlight%28101%29\"\r\n" );
document.write( "Number of adults = 110 - 101 = \"highlight%289%29\"\r\n" );
document.write( "Check for correctness:\r\n" );
document.write( "Cost of children tickets = 101*20 = 2020\r\n" );
document.write( "Cost of adult tickets = 9*30 = 270\r\n" );
document.write( "Total = 2020 + 270 = 2290 (correct!)\r\n" );
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