Question

activity: remember equation model: total cost
you are planning a trip to the zoo.
the bus costs $500. each students ticket costs $17. the total cost of the trip is $1452. let n = number
of students.

• write an equation showing the total cost.
• solve for n.
• write 1 - 2 sentences explaining what your answer means.

Explanation:

Step1: Write the equation

The total cost is the sum of the bus cost and the cost of student tickets. The bus cost is $500 and the cost of student tickets is $17 per student (if there are \(n\) students, the cost of tickets is \(17n\)). So the equation is \(17n + 500=1452\).

Step2: Solve for \(n\)

Subtract 500 from both sides of the equation:
\(17n+500 - 500=1452 - 500\)
\(17n = 952\)
Divide both sides by 17:
\(n=\frac{952}{17}\)
\(n = 56\)

Answer:

• The equation for the total cost is \(17n + 500=1452\).
• The value of \(n\) is \(56\).
• The answer \(n = 56\) means that there are 56 students going on the trip to the zoo.