Question

essential question: how can we use our understanding of solving equations and formulas in real life?
score:
directions: read each problem carefully and answer the questions. no phones, no talking, and cheating.
going to halloween horror nights!
your class is planning a field trip to universal studios halloween horror nights. theres a bus fee, a cost per student, and each student pays money to go. youll write and solve equations to figure out the trip breaks even.
part 1 - attempting
the bus costs $600. each students ticket costs $17. the total cost of the trip is $1110. let n = number of students.

• write an equation showing the total cost.
• solve for n.

write 1 - 2 sentences explaining what your answer means.
approaching
the school now charges each student $39 to go. the trip still costs $275 for the bus plus $28 per student. let n = the number of students.
write an equation where the total revenue is the same as the total cost.
solve for n (the break - even point).
check your work by substituting your answer back into the equation.

Explanation:

Step1: Write the equation for total cost

The total cost is the sum of the bus cost and the cost per student. The bus cost is a fixed cost of $600$, and the cost per student is $17n$ (where $n$ is the number of students). So the equation is $17n + 600=1110$.

Step2: Solve for $n$

Subtract $600$ from both sides of the equation:
$$17n+600 - 600=1110 - 600$$
$$17n = 510$$
Divide both sides by $17$:
$$n=\frac{510}{17}=30$$

Answer:

The value of $n$ is $30$. This means that when there are $30$ students going on the trip, the total cost of the trip (bus cost plus student - ticket costs) is equal to the given total cost of $\$1110$.