Question

The drama club is selling tickets to their spring performance. It is $3 for a student and $8 for an adult. They sold 225 tickets and earned $1400. How many adult and student tickets?

Answer 1

Answer:

number of students tickets = 80

number of adults tickets = 145

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 225 (1)

3x + 8y = 1400 (2)

From (1)

x = 225 - y

Substitute x = 225 - y into (2)

3x + 8y = 1400 (2)

3(225 - y) + 8y = 1400

675 - 3y + 8y = 1400

- 3y + 8y = 1400 - 675

5y = 725

y = 725/5

y = 145

Substitute y = 145 into (1)

x + y = 225 (1)

x + 145 = 225

x = 225 - 145

x = 80

number of students tickets = 80

number of adults tickets = 145