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The high school band sold 500 tickets for a concert. The price of an adult ticket was $14.50, and the price of a student ticket was $9.50. The total amount of money collected was $5,860. Which system of linear equations can be used to find a, the number of adult tickets sold, and s, the number of student tickets sold?

Respuesta :

Answer:

14.5a + 9.5s = 5,860

a + s = 500

Step-by-step explanation:

Lanuel

A system of linear equations which can be used to find the number of adult tickets sold (a) and the number of student tickets sold (s) is:

[tex]a+s=500[/tex]

[tex]14.50a + 9.50s = 5860[/tex]

  • Let a be the number of adult tickets sold.
  • Let s be the number of student tickets sold.

Given the following data:

  • Total number of tickets = 500 tickets
  • Cost of adult ticket = $14.50
  • Cost of student ticket = $9.50.
  • Total amount = $5,860.

To write a system of linear equations which can be used to find the number of adult tickets sold (a) and the number of student tickets sold (s):

Translating the word problem into an algebraic expression, we have;

The high school band sold 500 tickets:

[tex]a+s=500[/tex]

The price of both the adult and student tickets sold:

[tex]14.50a + 9.50s = 5860[/tex]

Find more information: https://brainly.com/question/3600420

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