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.