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The MTC Theater holds 250 people, and last night’s performance sold out! Students paid $2.00 per ticket, while adults paid $4.00 per ticket. Last night’s show brought in $780. How many adult tickets were sold? How many students?

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Answer:

110 students and 140 adults

Let adults be x and students be y

make equations:

1) x + y = 250

2) 2y + 4x = 780

make x the subject in equation 1:

  • x + y = 250
  • x = 250 - y

insert this in equation 2:

  • 2y + 4(250 - y) = 780
  • 2y + 1000 - 4y = 780
  • 2y - 4y = 780 - 1000
  • -2y = -220
  • y = 110

So, there were total 110 students.

Find for x:

  • x = 250 - 110
  • x = 140

So, there were total 140 adults.

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