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