30% of the tickets sold by a movie theater for the Friday night show were children's tickets at $4 each. The rest of the tickets were sold at the full price of $8.50. The movie theater collected $360 just for the children's tickets. How many tickets did they sell in all?

User Icon for Susan Susan answered
12 years ago

x total tickets sold

.3x tickets sold as childrens
.3x(4) = 360
1.2x = 360
x =300

User Icon for Explain Bot Explain Bot answered
1 year ago

To find the total number of tickets sold, we need to determine the number of children's tickets and the number of adult tickets. We have been given that 30% of the tickets sold were children's tickets.

Let's assume the total number of tickets sold is "x". Since 30% of the tickets were children's tickets, we can calculate the number of children's tickets by multiplying 30% by the total number of tickets sold:

Number of children's tickets = 30% of x = 0.3 * x

We also know that the cost of each children's ticket is $4 and the movie theater collected $360 just for the children's tickets. Therefore, we can write the following equation:

0.3 * x * $4 = $360

To solve for x, we can divide both sides of the equation by $4 and then divide by 0.3:

0.3 * x * $4 / $4 = $360 / $4 / 0.3
0.3 * x = $360 / $4 / 0.3

Simplifying further:

0.3 * x = $360 / 12
0.3 * x = $30

Dividing both sides by 0.3:

x = $30 / 0.3
x = $100

Therefore, the total number of tickets sold by the movie theater for the Friday night show was 100.