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More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were
s students in each bus, which inequality best represents this situation?
Choose 1 answer:
(A)
11 s+6 > 450
(B)
11 s+6 < 450
(C)
6s+11 > 450
(D)
6s+11 < 450

More than $450$ students traveled to a state park for a field trip. The school allowed $6$ students to travel by car, and the rest traveled on $11$ buses, each of which held the same number of students. If there were $s$ students in each bus, which inequality best represents this situation? $\newline$ Choose $1$ answer: $\newline$ (A) 11 s+6>450 $\newline$ (B) 11 s+6<450 $\newline$ (C) 6 s+11>450 $\newline$ (D) 6 s+11<450

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Write a linear inequality: word problems

Full solution

Q. More than

450

students traveled to a state park for a field trip. The school allowed

6

students to travel by car, and the rest traveled on

11

buses, each of which held the same number of students. If there were

s

students in each bus, which inequality best represents this situation?

\newline

Choose

1

answer:

\newline

(A)

11 s+6>450

\newline

(B)

11 s+6<450

\newline

(C)

6 s+11>450

\newline

(D)

6 s+11<450

Identify students traveled by car: Identify the total number of students who traveled by car. We know that $6$ students traveled by car.
Determine students traveled by bus: Determine the number of students who traveled by bus. We are told that the rest of the students traveled on $11$ buses, and each bus held the same number of students, which is represented by $s$ .
Express bus travelers algebraically: Express the total number of students who traveled by bus as an algebraic expression. Since there are $11$ buses and each bus has $s$ students, the total number of students on the buses is $11s$ .
Combine car and bus travelers: Combine the number of students who traveled by car with the number of students who traveled by bus to get the total number of students who traveled to the state park. This gives us $6$ (from the car) + $11s$ (from the buses).
Formulate inequality: Formulate the inequality that represents the situation. We know that the total number of students who traveled is more than $450$ . Therefore, the inequality should reflect that the sum of students who traveled by car and bus is greater than $450$ . The inequality is 11s + 6 > 450.

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