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

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
======
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

RELATED QUESTIONS
Tickets to a local movie were sold for $6.00 for adults and $4.50 for students. If 276... (answered by math_tutor2020,josgarithmetic,greenestamps)

Ticket to a movie cost $7.25 for adults and $5.50 for students. A group of friends... (answered by radikrr)

A group of 4 students went to the movie theater. They each bought a ticket for $x and... (answered by greenestamps,Edwin McCravy,MathTherapy,ikleyn)

Tickets to the ball game are $8 for students and $12 for adults. If you sold three times... (answered by Boreal)

adult tickets cost 8$ and student tickets for the concert cost 4$ exactly 290 tickets... (answered by ikleyn,greenestamps)

Cody ordered game tickets that cost $7.50 for children and $12.00 for adults. She... (answered by galileo)

Lana ordered concert tickets that cost $7.50 for children and $12.00 for adults. She... (answered by mananth)

Tickets to a local movie were sold at $4 for adults and $2.50 for students. If 59 tickets (answered by mananth,robertb)

Movie tickets cost $5 for children, $8 for adults and $4 for seniors. The theater earned... (answered by ankor@dixie-net.com)