Beth bought 20 tickets to a movie, where adult tickets cost $8.00 and senior citizen tickets cost $4.00. she spent a total of $140. which system of equations will determine the number of adult tickets, a, and the number of senior citizen tickets, s, beth purchased?

The Total number of adults ticket's is 15

The Total number of Senior citizen ticket's is 5

Step-by-step explanation:

Given as :

The total number of movies tickets were bought = 20

The cost of adults tickets = $ 8.00

The cost of senior citizen tickets = $ 4.00

The total money spent on movie tickets = $ 140

Let The total number of adults tickets = A

And The total number of senior citizen tickets = S

Now, According to question

The total number of movies tickets were bought = 20

I.e The total number of adults tickets + The total number of senior citizen tickets = 20

Or, A + S = 20

And $ 8 A + $ 4 S = $ 140  .........1

I.e 8 × ( A + S ) = 8 × 20

Or, 8 A + 8 S = 160         .......2

Solving the equation 1 and 2

Or, (  8 A + 8 S ) - (  8 A + 4 S ) = 160 - 140

Or, (  8 A - 8 A ) + ( 8 S - 4 S ) = 20

or, 0 + 4 S = 20

∴ S =

I.e S = 5

So, The number of Senior citizen ticket's = 5

Put The value of S in eq 1

So,  8 A +  4 × 5 = 140

Or, 8 A = 140 - 20

Or, 8 A = 120

∴  A =

I.e A = 15

So, The number of adult's tickets = 15

Hence The Total number of adults ticket's is 15

And The Total number of Senior citizen ticket's is 5    Answer

rx and sx

step-by-step explanation: