A campaign committee is hiring temporary workers for 1 day to prepare materials. Student workers will be paid $75 and skilled
workers will be paid $120. The number of skilled workers is less than the number of student workers. The committee can
spend no more than $3000. There is only space for a total of 25 workers. Let x represent the number of student workers
and y represent the number of skilled workers. Write a system of inequalities to represent this situation.

Respuesta :

The system of inequalities that represent the situation is:

[tex]y < x[/tex]

[tex]75x + 120y \leq 3000[/tex]

[tex]x + y \leq 25[/tex]

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In the system.

  • x is the number of students workers.
  • y is the number of skilled workers.

The number of skilled workers is less than the number of student workers, then:

[tex]y < x[/tex]

Student workers will be paid $75 and skilled  workers will be paid $120.The committee can  spend no more than $3000, then:

[tex]75x + 120y \leq 3000[/tex]

There is only space for a total of 25 workers, thus:

[tex]x + y \leq 25[/tex]

The system is:

[tex]y < x[/tex]

[tex]75x + 120y \leq 3000[/tex]

[tex]x + y \leq 25[/tex]

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