Question

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?

Answer 1

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.