A teacher is chooseing between two options for a class filed trip to an orchard

At Orchard A, admission cost $9 perperson, and 3 chaperones are required.

At Orchard B, the cost is $10 per person, but only 1 chaperone is required.

At each orchard, the same pric applies to both chaperones and students

Which orchard would be cheaper to visit if the class has 18 students?

They cost the same

Orchard B

Not enough information

Orchard A

1 answer

To determine which orchard would be cheaper for a class of 18 students, we need to calculate the total cost for each orchard, including both the students and the required chaperones.

Orchard A:

  • Cost per person: $9
  • Number of required chaperones: 3
  • Total number of people (students + chaperones): \(18 + 3 = 21\)
  • Total cost for Orchard A: \[ 21 \text{ people} \times 9 \text{ dollars/person} = 189 \text{ dollars} \]

Orchard B:

  • Cost per person: $10
  • Number of required chaperones: 1
  • Total number of people (students + chaperones): \(18 + 1 = 19\)
  • Total cost for Orchard B: \[ 19 \text{ people} \times 10 \text{ dollars/person} = 190 \text{ dollars} \]

Now, comparing the total costs:

  • Total cost for Orchard A: $189
  • Total cost for Orchard B: $190

Thus, Orchard A is cheaper to visit.