Question
Mathematics
A teacher is choosing between two options for a class field trip to an orchard.
• At Orchard A, admission costs $\mathrm{}9$$9 per person and 3 chaperones are required. • At Orchard B, the cost is $\mathrm{}10$$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.
For Orchard A, the cost per person is $\mathrm{}9$$9 and 3 chaperones are required, which means the total cost for a group of 11 (8 students + 3 chaperones) is: Total cost for Orchard A $=11×\mathrm{}9=\mathrm{}99$=11 xx$9=$99 For Orchard B, the cost per person is $\mathrm{}10$$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 $=9×\mathrm{}10=\mathrm{}90$=9xx$10=$90
Therefore, Orchard B is the cheaper option with a total cost of $\mathrm{}90$$90 for a group of 9, while Orchard A has a total cost of $\mathrm{}99$$99 for a group of 11.