Subjects algebra

Cost Per Student

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Cost Per Student


1. Stating the problem: We have a total hire cost of 600, which is shared among 90 students, with 10% of the total cost intended perhaps as a discount or additional fee. We want to find out either the cost per student before and after applying 10%. 2. Calculate the cost per student without the 10% adjustment: $$\text{cost per student} = \frac{600}{90} = 6.67$$ 3. Calculate 10% of the total cost: $$10\% \times 600 = 0.10 \times 600 = 60$$ 4. Adjust the total cost by adding or subtracting 10%. Since the problem is ambiguous, we consider both cases: - If 10% is an extra fee: $$600 + 60 = 660$$ - If 10% is a discount: $$600 - 60 = 540$$ 5. Calculate the new cost per student with both adjustments: - With extra fee: $$\frac{660}{90} = 7.33$$ - With discount: $$\frac{540}{90} = 6$$ Final answer: The cost per student without adjustment is 6.67. With a 10% extra fee it becomes 7.33 per student, and with a 10% discount it becomes 6 per student.