2. A person and a half eats three and a half loaves in two and a half days. How many loaves will 100 people eat in 45 days?
Solution. A person and a half, in two and a half days, eats three and a half loaves. This means that three people in 5 days eat $2 \cdot 2 \cdot 3.5=14$ loaves. One person in 1 day eats $\frac{1}{3} \cdot \frac{1}{5} \cdot 14=\frac{14}{15}$ loaves. One person in 45 days eats $45 \cdot \frac{14}{15}=42$ loaves, and 100 people in 45 days eat $42 \cdot 100=4200$ loaves.