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A movie theater charges $14 for adults and $10 for seniors. On a particular day when 339 people paid an admission, the total receipts were $3662. how many who paid were adults? and how how mnay who paid were seniors?

Respuesta :

joseaaronlara

Answer:

The answer to your question is adults = 68 seniors 271

Step-by-step explanation:

Data

Adults = a = $14

Seniors = s = $10

total people = 339

total earnings = $3662

number of adults = ?

number of seniors = ?

Process

1.- Write two equations to solve this problem

               a + s = 339

             14 a + 10s = 3662

2.- Solve by substitution

               a = 339 - s

            14(339 - s) + 10s = 3662

            4746 - 14s + 10 s = 3662

Solve for s

            -14s + 10 s = -4746 + 3662

                     -4s = - 1084

                         s = 1084/4

                         s = 271

3.- Find a

               a + 271 = 339

                a = 339 - 271

                a = 68              

271 who paid were seniors while 68 who paid were adult.

Let

x = number of senior

y = number of adult

On a particular day 339 people paid an admission. Therefore,

Total paid:

  • x + y = 339

The total receipts were $3662. Therefore,

Total receipt:

  • 10x + 14y = 3662

Let's combine the equation.

x + y = 339

10x + 14y = 3662

Multiply equation(i) by 10

10x + 10y = 3390

10x + 14y = 3662

4y = 272

y = 272 / 4

y = 68

x = 339 - 68

x = 271

learn more on system of equation: https://brainly.com/question/22907865?referrer=searchResults

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