thaomacie
contestada

Regal theater in Tikahtnu sold 548 tickets to Moana on Sunday. A adult’s ticket was $6.50 while a child’s ticket was $3.50. In total, they took in $2881 in sales of these ticket. How many adults tickets were sold? Children’s tickets?

Respuesta :

absor201

Regal theater sold 321 adult tickets and 227 children tickets.

Step-by-step explanation:

Given,

Cost of each adult ticket = $6.50

Cost of each child's ticket = $3.50

Total tickets sold = 548

Total worth of sold tickets = $2881

Let,

x represent the number of adult tickets sold

y represent the number of child tickets sold

According to given statement;

x+y=548             Eqn 1

6.50x+3.50y=2881    Eqn 2

Multiplying Eqn 1 by 6.50

[tex]6.50(x+y=548)\\6.50x+6.50y=3562\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3

[tex](6.50x+6.50y)-(6.50x-3.50y)=3562-2881\\6.50x+6.50y-6.50x-3.50y=681\\3y=681[/tex]

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{681}{3}\\y=227[/tex]

Putting y=227 in Eqn 1

[tex]x+227=548\\x=548-227\\x=321[/tex]

Regal theater sold 321 adult tickets and 227 children tickets.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1289682
  • brainly.com/question/12932203

#LearnwithBrainly

Otras preguntas