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The concession stand at a local high school sells nachos for $4 each and popcorn for $2 each. At the next event, the manager of the stand expects sales of a minimum of 100 items, totaling at least $225. Let x represent the number of nachos sold and let y represent the number of popcorn sold. Which of the following systems correctly represents the scenario?

Respuesta :

The system of inequalities that correctly represents this scenario is given by:

  • [tex]x + y \geq 100[/tex].
  • [tex]4x + 2y \geq 225[/tex].

What is a system of inequalities?

A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of nachos sold.
  • Variable y: number of popcorn sold.

The manager of the stand expects sales of a minimum of 100 items, hence:

[tex]x + y \geq 100[/tex].

The concession stand at a local high school sells nachos for $4 each and popcorn for $2 each. The manager wants a total of at least $225, hence:

[tex]4x + 2y \geq 225[/tex]

More can be learned about a system of inequalities at brainly.com/question/3656398

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