Answer:
• Inequality: 135n+500≤3335
,• n≤21
Explanation:
Let the number of students that went on the trip = n
Each student paid $135.
• Therefore, the amount paid by n students = $135n
,• The school paid a total of $500
[tex]\text{Total}=135n+500[/tex]The trip cost at most $3,335, which means it costs either:
• Exactly $3,335; or
,• Less than $3,335
We then have the inequality:
[tex]135n+500\le3335[/tex]We then solve the inequality for n to find out how many students went on the trip.
[tex]\begin{gathered} 135n+500\le3335 \\ \text{Subtract 500 from both sides} \\ 135n+500-500\le3335-500 \\ 135n\le2835 \\ \text{Divide both sides by 135} \\ \frac{135n}{135}\le\frac{2835}{135} \\ n\le21 \end{gathered}[/tex]At most 21 students went on the trip.
