document.write( "Question 1119317: A total of 290 people attended the highschool play. The admission prices were $11 for adults, $7 for high school students, and $2 for children not yet in high school. The ticket sales totaled $1750. The principal suggested that next year they raise prices to $15 for adults, $8 for high school students, and $3 for children not yet in high school. He said that if exactly the same number of people attend next year, the ticket sales at the higher prices will total $2280. How many adults, high school students, and children not yet in high school attended this year? \n" ); document.write( "

Algebra.Com's Answer #734799 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "The condition gives you this system of equations.\r\n" );
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document.write( "  x +  y +  z =  290    (1)   ( x = #adults, y = #high school students, z = #children)\r\n" );
document.write( "11x + 7y + 2z = 1750    (2)\r\n" );
document.write( "15x + 8y + 3z = 2280    (3)\r\n" );
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document.write( "To solve it, I used the online free of charge solver at this site\r\n" );
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document.write( "    https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver\r\n" );
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document.write( "    https://www.algebra.com/algebra/homework/Matrices-and-determiminant/cramers-rule-3x3.solver\r\n" );
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document.write( "which employed the Cramer's rule.\r\n" );
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document.write( "Answer.  x = 80,  y = 90,  z = 120.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Other method (Elimination) also works. You may try it.\r
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