Question

Mathematics

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

- At Orchard A, admission costs
per person and 3 chaperones are required. - At Orchard B, the cost is
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 8 students?

Orchard B

Both orchards since they cost the same price.

Orchard A

Neither orchards because both cost too much.

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Best Answer

To find out which orchard would be cheaper to visit with 8 students, we need to calculate the total cost for each orchard.

For Orchard A, the cost per person is and 3 chaperones are required, which means the total cost for a group of 11 (8 students + 3 chaperones) is:

Total cost for Orchard A

For Orchard B, the cost per person is and 1 chaperone is required, which means the total cost for a group of 9 (8 students + 1 chaperone) is:

Total cost for Orchard B

Therefore, Orchard B is the cheaper option with a total cost of for a group of 9, while Orchard A has a total cost of for a group of 11.

Therefore, the answer is Orchard B.

For Orchard A, the cost per person is

Total cost for Orchard A

For Orchard B, the cost per person is

Total cost for Orchard B

Therefore, Orchard B is the cheaper option with a total cost of

Therefore, the answer is Orchard B.