To find out how many days it will take Jamal to fill an order of 75 toys, we first determine his rate of toy production.
Jamal produces 8 toys every 5 days. We can calculate his production rate in terms of toys per day:
\[ \text{Rate} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]
Next, we need to find out how many days it will take him to produce 75 toys. We can use the following formula:
\[ \text{Days} = \frac{\text{Total toys needed}}{\text{Production rate}} \]
Substituting the values:
\[ \text{Days} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} = 46.875 \text{ days} \]
Since we need to round to the nearest whole number, we round 46.875 to 47.
Thus, it will take Jamal approximately 47 days to fill the order of 75 toys.
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