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A movie theater charges $6.00 for adults and $3.00 for senior citizens. On a day when people paid for admission, the total receipts were $1293. How many adults paid? How many seniors paid?

Answer :

1. Using a system of equations, the number of adults who paid was 101.

2. Using a system of equations, the number of seniors who paid was 229.

What is a system of equations?

A system of equations involves the use of more than one equation to solve an equation problem simultaneously.

A system of equations is also known as simultaneous equations.

Charge per adult = $6

Charge per senior = $3

The total receipts = $1,293

The number of movie-goers who paid = 330

Let adults = x

Let seniors = y

6x + 3y = 1,293 ... Equation 1

x + y = 330 ... Equation 2

x = 330 - y ... Equation 3

In Equation 1:

6(330 - y) + 3y = 1,293

1,980 - 6y + 3y = 1,293

-6y + 3y = 1,293 - 1,980

-3y = -687

y = 229

In Equation 3:

x = 330 - y

x = 330 - 229

x = 101

Check:

In Equation 1:

6x + 3y = 1,293

6(101) + 3(229) = 1,293

606 + 687 = 1,293

1,293 = 1,293

Thus, using a system of equations, adults who paid were 101 and seniors were 229.

Learn more about equations at brainly.com/question/2972832

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Question Completion:

On a day when 330 people paid for admission, the total receipts were $1293.

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