SOLUTION: August is selling tickets for his school play. -Adults pay $7 a ticket while students pay $5 a ticket. -August sells 35 tickets and collects $160. How many of each type of t

Algebra ->  Permutations -> SOLUTION: August is selling tickets for his school play. -Adults pay $7 a ticket while students pay $5 a ticket. -August sells 35 tickets and collects $160. How many of each type of t      Log On


   

Question 1199536: August is selling tickets for his school play.
-Adults pay $7 a ticket while students pay $5 a ticket.
-August sells 35 tickets and collects $160.
How many of each type of tickets did he sell?
A. 40 students and 32 adults
B. 20 students and 15 adults
C. 4 students and 5 adults
D. 15 students and 20 adults
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
This is a very routine exercise.

y adults
35-y students

Account for the ticket sales revenue.
7y%2B5%2835-y%29=160

7y%2B5%2A35-5y=160
2y=160-5%2A35
y=%28160-5%2A35%29%2F2
y=-7.5, which is nonsense.
Something is wrong in the problem description.

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The problem is clearly faulty as posted.

The cheapest tickets cost $5 each; 35 of them would cost 35($5) = $175.

He could not sell 35 tickets and collect only $160. (If he is being honest....)

Additional comment....

If this is actually an exam question, by far the easiest way to find the answer is to see which of the answer choices gives the right total of $160. (Obviously, since the problem is faulty, none of them do....)