Question

There is a Saturday performance at a local theater. A theater charges $9 for an adult ticket and $4 for a child ticket. All 1020 tickets were sold and $7680 of revenue was brought in. How many adult tickets were sold?

Answer 1

Let x tickets sold be adults, then (1024-x) were of childrens tickets, 9x+(1024-x)4 = 7680. The above equation is for total money solve it you will get x=720 hence, number of adult tickets were 720 and number of child tickets were 300 :)

Answer 2

Using a system of linear equations, the number of adult tickets that were sold is 720

Represent adult with A, and children with C.

So, the system of equations can be represented as:

$A + C = 1020$

$9A + 4C = 7680$

Make C the subject in the first equation

$C = 1020 - A$

Substitute 1020 - A for C in the second equation

$9A + 4(1020 -A) = 7680$

Open the brackets

$9A + 4080 -4A = 7680$

Collect like terms

$9A -4A = 7680-4080$

So, we have:

$5A = 3600$

Divide both sides by 5

$A = 720$

Hence, 720 adult tickets were sold

Read more about system of equations at:

https://brainly.com/question/14323743