A teacher is choosing between two options for a class field trip to an orchard.

Question

• At Orchard A, admission costs $9 per person, 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 price applies to both chaperones and students.
Which orchard would be cheaper to visit if the class has 12 students?
A) Orchard A
B) Not enough information
C) Orchard B
D) They cost the same

Answer 1

Let's calculate the total cost for both Orchard A and Orchard B for 12 students.

Orchard A:

• Admission cost per person: $9
• Number of required chaperones: 3
• Total attendees (students + chaperones): 12 students + 3 chaperones = 15 attendees

Total cost for Orchard A: \[ \text{Total cost} = 15 \text{ attendees} \times 9 \text{ dollars/person} = 135 \text{ dollars} \]

Orchard B:

• Admission cost per person: $10
• Number of required chaperones: 1
• Total attendees (students + chaperones): 12 students + 1 chaperone = 13 attendees

Total cost for Orchard B: \[ \text{Total cost} = 13 \text{ attendees} \times 10 \text{ dollars/person} = 130 \text{ dollars} \]

Comparison:

• Total cost for Orchard A: $135
• Total cost for Orchard B: $130

Therefore, Orchard B is the cheaper option.

The answer is C) Orchard B.