Question

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.

Answers

  1. 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
    #SPJ9

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