SOLUTION: Tickets for an event cost \$5 for children, \$10 for adults, and \$8 for senior citizens. The total ticket sales were \$2060. There were 50 more adult tickets sold than child tickets

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Tickets for an event cost \$5 for children, \$10 for adults, and \$8 for senior citizens. The total ticket sales were \$2060. There were 50 more adult tickets sold than child tickets      Log On

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 Click here to see ALL problems on Quadratic Equations Question 82389: Tickets for an event cost \$5 for children, \$10 for adults, and \$8 for senior citizens. The total ticket sales were \$2060. There were 50 more adult tickets sold than child tickets, and the number of senior citizens tickets were 3 times the number of child tickets. How many of each ticket were sold? Hint: You must find all 3 numbers to earn full credit. Answer: Child tickets: _________ sold Adult tickets: _________ sold Senior citizen tickets: _________ sold Answer by ankor@dixie-net.com(15647)   (Show Source): You can put this solution on YOUR website!x = no. of children; y = no. adults; z = no. of seniors : Write an equation for each sentence Tickets for an event cost \$5 for children, \$10 for adults, and \$8 for senior citizens. "The total ticket sales were \$2060. " 5x + 10y + 8z = 2060 : "There were 50 more adult tickets sold than child tickets," y = x + 50 : "the number of senior citizens tickets were 3 times the number of child tickets" z = 3*x : . How many of each ticket were sold? : Notice that the last two equation put both y and z in terms x. Therefore if we substitute for y and z in the total sales equation we can find x: 5x + 10(x+50) + 8(3x) = 2060 : 5x + 10x + 500 + 24x = 2060; multiplied what's in brackets : 5x + 10x + 24x = 2060 - 500; subtracted 500 from both sides : 39x = 1560 : x = 1560/39 : x = 40 children : Then: y = x + 50 y = 40 + 50 y = 90 adults : And z = 3*x z = 2*40 z = 120 seniors : Check our solutions in the total sales equation: 5(40) + 90(10) + 8(120) = 200 + 900 + 960 = 2060