Question

A community theater sold a total of 400 full price tickets for adults and children.The price was $8.00 per adult ticket and $5.00 per children’s ticket. If the total revenue was $2,750, how many adult tickets and how many children’s tickets were sold

Answer 1

250 adult tickets and 150 children's tickets

Explanation:

x=number of adult tickets

y=number of children tickets

8x+5y=2760

x+y=400

Multiply the second equation by 8

8(x+y=400)

8x+8y=3200

8x+5y=2750

8x+8y=3200

Subtract

8x-8x=0

5y-8y=-3y

2750-3200=-450

-3y=-450

Divide by -3 on both sides

y=150

Go back and insert y into any of the equations

x+150=400

Subtract

400-150=250

x=250

There are 250 adult tickets and 150 children's tickets.