Atheatre sold a total of 780 adult and student tickets. an adult ticket costs $8, a student ticket costs $3, and the total ticket sales were $4,440. write a system of equations and find the number of adult and student tickets sold.

Number of Adult tickets sold = 420

Number of Students tickets sold = 360

Step-by-step explanation:

Given as ,

Number of adult ticket + Number of Students tickets = 780  

Each Adult ticket cost = $8

Each Student ticket cost = $3

Total of ( Adult ticket cost + Student ticket cost) = $ 4,440

i.e

A + S = 780         1

And 8A + 3S = 4440         2

Solve eq 1 and 2

Or, 8A + 3S = 4440

     3A + 3S = 2340

Or, (8A + 3S) - (3A + 3S) = (4440 - 2340)

or,  5A = 2100

So, A = 420    

Now put this A value in eq 1

So 420 + S = 780

Or, S = 780 - 420

So , S = 360  

Hence The Number of Adult tickets sold = 420

And     The Number of Student tickets sold = 360

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