SOLUTION: Tickets to a dance are $7 for students and $8 for guests. How many students are present if $1350 were collected and only 180 people showed up

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Question 1105989: Tickets to a dance are $7 for students and $8 for guests. How many students are present if $1350 were collected and only 180 people showed up

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The average cost per ticket is $1350/180 = $7.50.

Since the average is halfway between the two prices, there must be equal numbers of students and guests, so the number of students was 180/2 = 90.

If you need an algebraic solution for finding the number of students....

let x = number of students
then 180-x = number of guests

The total cost of the tickets, at $7 per student and $8 per guest, was $1350:

7%28x%29%2B8%28180-x%29+=+1350
7x%2B1440-8x+=+1350
-x+=+-90
x+=+90