Question

in local theaters showing an animated movie 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 $2,550 we want to try to find out how many of each type of ticket they so let C represent the number of children tickets sold and A represent the number of adult tickets to write an equation that represents the fact that 342 tickets were sold also write an equation representing the fact that they made it to a total of 2550 also solve the system you created in A & B by the method of elimination

Answer 1

C+A=342
$5C+$12A=$2,550

5C+5A=1710
5C+12A=2550
-7C=-840
C=120

5(120)+12A=2550
600+12A=2550
12A=1950
A=163

Answer 2

Answer: C=222 and A =120

Explanation:

Let C be the number of children tickets and A be the number of adult tickets.

Then, According to the question, we have the following system:-

`C+A=342........................(1)\\5C+12A=2550........................(2)`

Multiply equation (1) by 5 on both sides ,we get

`5C+5A=1710..........(3)`

Eliminate equation (3) from equation (2), we get

`7A=840\\\Rightarrow\ A=120`

Substitute the value of A in (1), we get

`C+120=342\\\Rightarrow\ C=222`

Hence, the number of children tickets sold = 222 and the number of adult tickets sold =120