A local theater sells out their show. They sell all 500 tickets for a total of $8,070. The tickets were priced at $15 for students, $12 for children, and $18 for adults. If the band sold three times as many adult tickets as children’s tickets, how many of each type was sold?

The number tickets sold was 120 student tickets, 95 children tickets and 285 adult tickets.

Step-by-step explanation:

Given:

A local theater sell all 500 tickets for a total of $8,070.

The price of tickets were $15 for students, $12 for children, and $18 for adults.

The adult tickets sold were three times as many as children’s tickets.

Now, to find the number of student tickets, children tickets and adult tickets  sold.

Let the number of students ticket be

Let the number of children ticket be  

So, the number of adults ticket be

Now, the total number of tickets sold:

Now, the total cost of tickets:

Thus, the number of children ticket is 95.

According the adult tickets sold were three times as many as children’s tickets.

Therefore, the number of adult tickets = 95 × 3 = 285.

Now, substituting the value of in equation (1) to get the number of student tickets:

Hence, the number of student tickets is 120.

Therefore, the number tickets sold was 120 student tickets, 95 children tickets and 285 adult tickets.

$6.42

step-by-step explanation:

other answer is correct. i had used the radius of the radius somehow. a website: