They charge $5 per ticket for a child and $12 per ticket for an adult they sell a total of 342 tickets and make a total of $2250 how many of each type of tickets did they sell

the number of children tickets sold 265

the number of adult tickets sold 77

Step-by-step explanation:

Let x represent the number of children tickets sold.

Let y represent the number of adult tickets sold.

They charge $5 per ticket for a child and $12 per ticket for an adult. They were sold for a total of $2250. This means that

5x + 12y = 2250 - - - - - - - - - -1

The total number of tickets sold is 342. This means that

x + y = 342

Substituting x = 342 - y into equation 1, it becomes

5(342 - y) + 12y = 2250

1710 - 5y + 12y = 2250

- 5y + 12y = 2250 - 1710

7y = 540

y = 540/7 = 77

x = 342 - y = 342 - 77

x = 265