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help me please:’)

A club moderator recruits senior high and junior high school students for his club under the condition that he cannot recruit more than 50 people and the number of senior high students must be higher than the junior high. If he already recruited 28 senior high and 5 junior high school students, what is the maximum number of junior high school student he can still recruit?

Sagot :

Using the condition given to build an inequality, it is found that the maximum number of junior high school student he can still recruit is of 17.

Inequality:

Considering s the number of senior students and j the number of junior students, and that he cannot recruit more than 50 people, the inequality that models the number of students he can still recruit is:

[tex]s + j \leq 50[/tex]

In this problem:

  • Already recruited 28 senior high students, hence [tex]s = 28[/tex].
  • Already recruited 5 junior high students, want to recruit more, hence [tex]j = j + 5[/tex].

Then:

[tex]28 + j + 5 \leq 50[/tex]

[tex]33 + j \leq 50[/tex]

[tex]j \leq 17[/tex]

The maximum number of junior high school student he can still recruit is of 17.

You can learn more about inequalities at https://brainly.com/question/25953350

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