To determine how many days it will take Jamal to fill an order of 75 toys, we first need to find his production rate in toys per day.
Jamal is averaging 8 toys every 5 days, so his daily rate is:
\[ \text{Toys per day} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]
Next, we need to find out how many days it will take him to produce 75 toys. We can use the formula:
\[ \text{Days} = \frac{\text{Total toys}}{\text{Toys per day}} \]
Substituting the values we have:
\[ \text{Days} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} = 46.875 \text{ days} \]
Rounding to the nearest whole number, we get:
\[ \text{Days} \approx 47 \text{ days} \]
Thus, the answer is 47 days.
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