To determine how many days it will take Jamal to fill an order of 75 toys at his current rate of creating toys, we start by finding his production rate.
Jamal averages 8 toys every 5 days. To find out how many toys he produces in one day, we can set up the following calculation:
\[ \text{Toys per day} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]
Next, we need to calculate how many days it will take to produce 75 toys. We can use the following formula:
\[ \text{Days needed} = \frac{\text{Total toys needed}}{\text{Toys per day}} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \]
Now, performing the calculation:
\[ \text{Days needed} = \frac{75}{1.6} \approx 46.875 \]
Rounding to the nearest whole number, it will take approximately 47 days to fill the order of 75 toys.
Therefore, the correct answer is:
47 days