Question

Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. Suppose there are twice as many student tickets sold as adult tickets. If the income from the play was $1,700, how many of each type of ticket were sold?

Answer 1

Answer: the number of adult tickets sold is 400

the number of student tickets sold is 200

Step-by-step explanation:

Let x represent the number of adult tickets sold at the play.

Let y represent the number of student tickets sold at the play.

Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $1,700, it means that

1.75x + 1.25y = 1700 - - - - - - - - - -1

Suppose there are twice as many student tickets sold as adult tickets. This means that

y = 2x

Substituting y = 2x into equation 1, it becomes

1.75x + 1.25 × 2x = 1700= 1700

1.75y + 2.5y = 1700

4.25y = 1700

y = 1700/4.25 = 400

x = y/2 = 400/2 = 200