Middle School Museum Field Trip Problem

Vocabulary and key algebraic concepts derived from the museum field trip linear word problem.

Student admission fee

$\$8.50$ for each student attending the museum field trip.

Chaperone admission fee

$\$12$ for each chaperone attending the museum field trip.

Total admission cost

$\$730$ for admission for all participants on the field trip.

Total number of participants

$83$ people in total, consisting of students and chaperones.

System of equations for the field trip

$\begin{cases} s + c = 83 \\ 8.50s + 12c = 730 \end{cases}$, where $s$ represents the number of students and $c$ represents the number of chaperones.

Number of students on the field trip

$76$ students, found by solving $8.50s + 12(83 - s) = 730$ (Option C).