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The school production of​ 'Our Town' was a big success. For opening​ night, 388 tickets were sold. Students paid ​$3.50 ​each, while​ non-students paid ​$5.50 each. If a total of $ 1584.00 was​ collected, how many students and how many​ non-students attended?
The number of students was
nothing. ​(Simplify your​ answer.)
The number of​ non-students was
nothing. ​(Simplify your​ answer.)

Respuesta :

absor201

275 students and 113 non-students attended the event.

Step-by-step explanation:

Let,

Student ticket = x

Non-student ticket = y

Price of one student ticket = $3.50

Price of one non-student ticket = $5.50

According to given statement;

x+y=388   Eqn 1

3.50x+5.50y=1584.00   Eqn 1

Multiplying Eqn 1 by 3.50

[tex]3.50(x+y=388)\\3.50x+3.50y=1358\ \ \ Eqn 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](3.50x+5.50y)-(3.50x+3.50y)=1584.00-1358\\3.50x+5.50y-3.50x-3.50y=226\\2y=226\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{226}{2}\\y=113[/tex]

Putting y=113 in Eqn 1

[tex]x+113=388\\x=388-113\\x=275[/tex]

275 students and 113 non-students attended the event.

Keywords: Linear equations, multiplication

Learn more about linear equations at:

  • brainly.com/question/5102020
  • brainly.com/question/5147732

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