Question

name: genesis m
unit 1d: solving equations (day 1 - practice
attempting practice - equation model: total cos
you are organizing a field trip to a science museum.
the bus costs $420. each students ticket costs $14. the total cost of the trip is $1,050. 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 $420$, and the cost of student tickets is $14n$ (since each of the $n$ students pays $14$). The total cost is $1050$. So the equation is $420 + 14n=1050$.

Step2: Solve for $n$

Subtract $420$ from both sides of the equation:

$$\begin{align*} 420+14n - 420&=1050 - 420\\ 14n&=630 \end{align*}$$

Divide both sides by $14$:

$$ n=\frac{630}{14}=45 $$

Answer:

• The equation is $420 + 14n = 1050$.
• The value of $n$ is $45$.
• This means that there are 45 students going on the field - trip, as when we calculate using the cost structure (bus cost plus per - student ticket cost), with a total cost of $1050$, the number of students ($n$) that satisfies the cost equation is 45.