At a movie theater, child admission is $5.80 and adult admission is $$9.70. On Monday, three times as many adult tickets as child tickets were sold, for a total sale of $732.90. How many child tickets were sold that day?

Let's assume the number of child tickets sold is "x".

According to the problem, the number of adult tickets sold is three times the number of child tickets sold. Therefore, the number of adult tickets sold is 3x.

The cost of one child ticket is $5.80, so the total cost of child tickets sold is 5.80x.

The cost of one adult ticket is $9.70, so the total cost of adult tickets sold is 9.70 * 3x = 29.10x.

The total sale from both child and adult tickets is $732.90, so we can write the equation:

5.80x + 29.10x = 732.90.

Combining like terms, we have:

34.90x = 732.90.

To solve for x, we divide both sides of the equation by 34.90:

x = 732.90 / 34.90.

Evaluating the right side of the equation, we find:

x ≈ 21.

Therefore, approximately 21 child tickets were sold that day.

To solve this problem, let's assume that the number of child tickets sold is "x".

We are given that the cost of a child ticket is $5.80 and the cost of an adult ticket is $9.70. We are also told that three times as many adult tickets were sold as child tickets.

So, the number of adult tickets sold would be 3x.

The total sales is the sum of the cost of all the child tickets and the cost of all the adult tickets.

The total sales can be calculated as follows:

Total sales = (cost per child ticket * number of child tickets) + (cost per adult ticket * number of adult tickets)

Given that the total sales is $732.90, we can set up the equation:

732.90 = (5.80 * x) + (9.70 * 3x)

To solve the equation, we first simplify it:

732.90 = 5.80x + 29.10x

Combine like terms:

732.90 = 34.9x

Now, isolate the variable x:

x = 732.90 / 34.9

Dividing 732.90 by 34.9:

x ≈ 21

Therefore, approximately 21 child tickets were sold that day.

c(5.80) + a(9.70) =732.90 a = 3c

Substitute 3c for a.
c(5.8) + 3c(9.70) =732.90 Solve for c

x child tickets were sold.

3x adult tickets were sold.

5.8x + (9.7)3x = 732.90.
X =