To find out how many days it will take Jamal to fill an order of 75 toys, we first need to determine his rate of production.
Jamal produces 8 toys in 5 days. We can find his production rate per day:
\[ \text{Rate} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys/day} \]
Next, to find out how many days it will take to produce 75 toys, we use the formula:
\[ \text{Days} = \frac{\text{Total Toys}}{\text{Rate}} = \frac{75 \text{ toys}}{1.6 \text{ toys/day}} \]
Calculating that gives:
\[ \text{Days} = \frac{75}{1.6} = 46.875 \]
Rounding to the nearest whole number, Jamal will take approximately 47 days to fill the order of 75 toys.
Therefore, the answer is:
47 days
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