At a movie theater, admission tickets cost $10 for adults and $8 for children. on saturday, anne teak collected a total of $1276 for all admissions. if she sold 52 child tickets that day, how many adult tickets did anne sell?

a.) name a variable for the number of adult tickets sold and name a variable for the number of child tickets sold.

b.) write an equation in two variables to model the problem that includes these 5 parts:

c.) using your equation in part b, solve the problem and answer the question "how many adult tickets did anne sell? " in a complete sentence. explain or show your work!

i really need pls : (

Part a) variable x (the number of adult tickets sold) and variable y (the number of child tickets sold)

Part b)

Part c) The number of adult tickets sold was 86

Step-by-step explanation:

Part a) Name a variable for the number of adult tickets sold and name a variable for the number of child tickets sold

Let

x -----> the number of adult tickets sold

y -----> the number of child tickets sold

Part b) Write an equation in two variables to model the problem

we know that

-----> equation A

 -----> equation B

substitute equation B in equation A and solve for x

Part c) Using your equation in Part B, solve the problem and answer the question "how many adult tickets did Anne sell?" i

we have

Solve for x

Subtract 416 both sides

therefore

The number of adult tickets sold was 86

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b