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jasenka [17]
2 years ago
12

A group of friends wants to go to the amusement park. They have no more than $65 to spend on parking and admission. Parking is $

9.75, and tickets cost $16.25 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Mathematics
1 answer:
Aloiza [94]2 years ago
4 0

Considering the definition of an inequality, the number of people who can go to the amusement park is 3.

<h3>Definition of inequality</h3>

An 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.

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

<h3>Number of people who can go to the amusement park</h3>

In this case, you know that:

  • A group of friends has no more than $65 to spend on parking and admission.
  • Parking is $9.75, and tickets cost $16.25 per person, including tax.

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

$9.75 + $16.25×p ≤$65

Solving:

$16.25×p ≤$65 - $9.75

$16.25×p ≤$55.25

p ≤$55.25÷ $16.25

<u><em>p≤ 3.4</em></u>

Finally, the number of people who can go to the amusement park is 3.

Learn more about inequality:

brainly.com/question/17578702

brainly.com/question/25275758

brainly.com/question/14361489

brainly.com/question/1462764

#SPJ1

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