Question

raj has 100 tickets. a prize at the arcade costs 12 tickets. the inequality $12p \leq 100$ represents the number of prizes $p$ raj can get. what is the greatest number of prizes raj can get? \boxed{} prizes

Explanation:

Step1: Solve the inequality

Given \(12p\leq100\), divide both sides by \(12\): \(p\leq\frac{100}{12}\).

Step2: Simplify the fraction

\(\frac{100}{12}=\frac{25}{3}\approx8.33\).
Since \(p\) represents the number of prizes (a whole number), we take the integer part of \(\frac{25}{3}\).

Answer:

\(8\)