To find out how many days it will take Jamal to fill an order of 75 toys at his current rate of producing 8 toys every 5 days, we can first determine how many toys he produces per day.
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Calculate the daily production rate: \[ \text{Toys per day} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys/day} \]
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Next, we need to find out how many days it will take him to produce 75 toys: \[ \text{Days needed} = \frac{75 \text{ toys}}{1.6 \text{ toys/day}} \approx 46.875 \text{ days} \]
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Rounding to the nearest whole number: \[ \text{Days needed} \approx 47 \text{ days} \]
Therefore, the answer is 47 days.