To find out how many days it will take for Jamal to fill an order of 75 toys at his current rate of 8 toys every 5 days, we first need to determine his rate of production per day.
- Rate of production: \[ \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]
Next, we can find out how many days it would take to produce 75 toys by dividing the total number of toys by the daily rate:
- Days to produce 75 toys: \[ \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \approx 46.875 \text{ days} \]
Rounding to the nearest whole number gives us:
- Rounded days: 47 days
So, the answer is 47 days.