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A group of friends wants to go to the amusement park. They have no more than $190
to spend on parking and admission. Parking is $7, and tickets cost $15.25 per person,
including tax.

Answer :

Considering the definition of inequality, the number of friends admitted must be less than or equal to 12, expressed as p ≤ 12.

What is inequality?

Inequality is the existing inequality between two algebraic expressions, connected through the signs:

  • greater than >.
  • less than <.
  • less than or equal to ≤.
  • greater than or equal to ≥.

An inequality contains one or more unknown values ​​called unknowns, in addition to certain known data.

Calculation:

Solving an inequality consists of finding all the values ​​of the unknown for which the inequality relation holds.

Inequality in this case

In this case, you know that:

  • A group of friends has no more than $190 to spend on parking and admission.
  • Parking is $7
  • Tickets cost $15.25 per person, including tax.

Being "p" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is

15.25p + 7 ≤ 190

On solving the inequality

15.25p ≤ 190 -7

15.25p ≤ 183

p ≤ 183÷ 15.25

⇒ p ≤12

⇒ Finally, the number of friends admitted must be less than or equal to11, expressed as p ≤ 12

Learn more about inequality here:

brainly.com/question/17578702

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