Question

The community college fine arts department sold three kinds of tickets to its latest dance presentation. The adult tickets sold for $20, the student tickets for $12, and the child tickets for $10.The fine arts department was thrilled to have sold 350 tickets and brought in $4,650 in one night. The number of child tickets sold is the same as the number of adult tickets sold. How many of each type did the department sell?

Answer 1

Answer:adult=75

Students = 200

Children=75

Step-by-step explanation:

Let x= adult tickets, y=students, z=child

x+y+z =350

Since x=z

y+2z= 350 -----------1

20x +12y + 10z = 4650

Since y=z

12y +30z = 4650 --------2

Using elimination method to solve eqn 1&2

Multiply eqn 1 by 12

12y + 24z = 4200

12y +30z = 4650

Subtract equ 2 from 1

-6z =-450

z=75, x = 75

y=350 -(75+75)

y= 200 tickets

Answer 2

Answer:

adult=75

Students = 200

Children=75