Question

Solve It:

2 step equation:
Mr. Nelson is taking his students on a field trip to an observatory. The Observatory charges a $100 trip fee, plus $6.50 per student. If Mr. Nelson spent $327.50, how many students did he take on the trip?

Answer 1

Answer: 35

Explanation:

Let's assume that Mr. Nelson took "x" students on the trip.

According to the problem, the observatory charges a trip fee of $100, which Mr. Nelson had to pay regardless of how many students he took.

In addition to that, he also had to pay $6.50 per student. So the total cost of the trip can be expressed as:

Total cost = $100 + ($6.50 * number of students)

We know from the problem that the total cost of the trip was $327.50. So we can set up an equation:

$327.50 = $100 + ($6.50 * x)

Now we can solve for "x" by first subtracting $100 from both sides:

$327.50 - $100 = $6.50x

$227.50 = $6.50x

Finally, we can solve for "x" by dividing both sides by $6.50:

x = $227.50 ÷ $6.50

x ≈ 35

Therefore, Mr. Nelson took approximately 35 students on the field trip.