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.
