SOLUTION: Tickets for a basketball tournament were \$6 for students and \$9 for nonstudents. Total sales were \$10,500, and 250 more student tidkets were sold than nonstudents. How many of each

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 Click here to see ALL problems on Miscellaneous Word Problems Question 314197: Tickets for a basketball tournament were \$6 for students and \$9 for nonstudents. Total sales were \$10,500, and 250 more student tidkets were sold than nonstudents. How many of each type of ticket were sold?Answer by texttutoring(324)   (Show Source): You can put this solution on YOUR website!There are two variables: Let x = the number of \$6 tickets Let y = the number of \$9 tickets You need two equations. Total sales were \$10,500, so Equation 1: 6x +9y = 10500 There were 250 more student tickets sold than nonstudent tickets, so Equation 2: x = y + 250 Now take x=y+250 from Equation 2 and substitute it into Equation 1: 6(y+250) +9y = 10500 6y+1500 +9y = 10500 15y = 10500-1500 15y=9000 y=600 Now find x: x=y+250 x=600+250 x=850 There were 850 student tickets and 600 nonstudent tickets.