Question

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?

Answer 1

Answer:

215 senior citizens tickets

Step-by-step explanation:

Senior citizens tickets x Numbers

Adult ticket s ------------ y Numbers

x+y=325 .............1

7x+9y=2495.............2

Eliminate y

multiply (1)by -9

 

Multiply (2) by 1

-9x-9y=-2925

7x+9y=2495

Add the two equations

-2x = -430

/-2

x=215 Senior citizens tickets

Answer 2

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