Question

Tickets for a carnival cost $8 for children 12 and under and $12 for anyone over the age of 12. The carnival sold 233 tickets and collected $2,156. How many children's tickets were sold?

Answer 1

They sold 160 children's tickets.

Explanation:

With the information provided, yoou can write the following equations:

x+y=233 (1)

8x+12y=2,156 (2), where:

x is the number of tickets for children 12 and under

y is the number of tickets for anyone over the age of 12

Now, you can solve for x in (1):

x=233-y (3)

Then, you have to replace (3) in (2) and solve for y:

8(233-y)+12y=2,156

1,864-8y+12y=2,156

4y=2,156-1,864

4y=292

y=292/4

y=73

Finally, you can replace the value of y in (3) to find x:

x=233-73

x=160

According to this, the answer is that they sold 160 children's tickets.