Question

A museum charges a $150 fee for groups of more than 50 students and an additional $8.25 per student. If the total charge for a field trip to the museum is $991.50, how many students visited the museum?

Answer 1

Explanation:

For groups of more than 50 students, the museum charges a $150 fee, and then an additional $8.25 per student. So, the total charge can be expressed as:

Total charge = Fee + (Cost per student * Number of students)

Total charge = $150 + ($8.25 * S)

We're given that the total charge for the field trip is $991.50. So, we can set up the equation:

$991.50 = $150 + ($8.25 * S)

Now, we need to solve for "S":

First, subtract $150 from both sides of the equation:

$991.50 - $150 = $8.25 * S

$841.50 = $8.25 * S

Now, divide both sides by $8.25 to isolate "S":

S = $841.50 / $8.25

S = 102

So, there were 102 students who visited the museum.