To find out how many days it will take Jamal to fill an order of 75 toys, we can first determine his rate of production.
Jamal produces 8 toys every 5 days. To find out how many toys he produces in one day, we can compute:
\[ \text{Toys per day} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]
Now, we need to find out how many days it will take him to produce 75 toys. We can use the formula:
\[ \text{Days needed} = \frac{\text{Total toys}}{\text{Toys per day}} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \]
Calculating this gives:
\[ \text{Days needed} = \frac{75}{1.6} \approx 46.875 \]
Rounding to the nearest whole number gives us:
\[ \text{Days needed} \approx 47 \text{ days} \]
So, the answer is:
47 days
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