Considering the definition of an inequality, the number of people who can go to the amusement park is 3.
Definition of inequality
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.
Number of people who can go to the amusement park
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
p≤ 3.4
Finally, the number of people who can go to the amusement park is 3.
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