SOLUTION: Lauren paid for movie tickets which cost $8.50 for adults and $4.75 for students. She ordered six times as many student tickets as adult tickets. The total cost is $111. How many s
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Question 636786: Lauren paid for movie tickets which cost $8.50 for adults and $4.75 for students. She ordered six times as many student tickets as adult tickets. The total cost is $111. How many student tickets did she purchase? Answer by Maths68(1474) (Show Source):
You can put this solution on YOUR website! Lauren Purchased adult tickets = x
Lauren Purchased student tickets = 6x
Cost of a Adult ticket = 8.50
Cost of a student ticket = 4.75
Total Cost of all tickets = 111
(Lauren Purchased adult tickets)(Cost of a Adult ticket)+(Lauren Purchased student tickets)(Cost of a student ticket) = Total Cost of all tickets
(x)(8.50)+(6x)(4.75)=111
8.50x+28.50=111
37x=111
37x/37=111/37
x=3
Lauren Purchased adults tickets = x = 3
Lauren Purchased students tickets = 6x = 6*3 = 18
Check
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Total Cost of Adults tickets = 8.50*3=25.50
Total Cost of students tickets= 4.75*18=85.50
Total Cost = 25.5+85.5=111
