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Mathematics
A teacher is choosing between two options for a class field trip to an orchard.
  • At Orchard A, admission costs $ 9 $9 per person and 3 chaperones are required.
  • At Orchard B, the cost is $ 10 $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 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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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 $ 9 $9 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 = 11 × $ 9 = $ 99 =11 xx$9=$99
For Orchard B, the cost per person is $ 10 $10 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 = 9 × $ 10 = $ 90 =9xx$10=$90
Therefore, Orchard B is the cheaper option with a total cost of $ 90 $90 for a group of 9, while Orchard A has a total cost of $ 99 $99 for a group of 11.
Therefore, the answer is Orchard B.
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