Students deliver catalogues and leaflets to houses - OCR - GCSE Maths - Question 11 - 2017 - Paper 1

Each student works for 8 hours. Depending on what they are delivering, the number of items a single student can deliver is:

1. If delivering catalogues: $15 \text{ catalogues/hour} \times 8 \text{ hours} = 120 \text{ catalogues}$

2. If delivering leaflets: $80 \text{ leaflets/hour} \times 8 \text{ hours} = 640 \text{ leaflets}$

Next, we determine the number of students required for both catalogues and leaflets:

1. For catalogues: $\frac{360 \text{ catalogues}}{120 \text{ catalogues/student}} = 3 \text{ students}$

2. For leaflets: $\frac{1440 \text{ leaflets}}{640 \text{ leaflets/student}} = 2.25 \text{ students}$ Since we cannot have a fraction of a student, we round up to 3 students.

Finally, we find the overall minimum number of students needed:

1. Total students needed: Since we will have 3 students for catalogues and 3 students (rounded from 2.25) for leaflets, the maximum number of students needed will be 3, because that covers both catalogues and leaflets.