To solve the problem, we can set up a proportion based on Jamal’s rate of producing toys.
Jamal is averaging 8 toys every 5 days. To find out how many days it will take to fill an order of 75 toys, we can first determine how many toys he makes in one day:
\[ \text{Toys per day} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]
Next, we want to find out how many days it will take him to make 75 toys. We can set up the equation:
\[ \text{Days} = \frac{\text{Total toys}}{\text{Toys per day}} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \]
Calculating this gives:
\[ \text{Days} = \frac{75}{1.6} = 46.875 \]
Rounding this to the nearest whole number gives us 47 days.
So, the correct answer is:
47 days