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 follow these steps:
-
Calculate the rate of production per day:
Jamal produces 8 toys in 5 days, so his production rate is: \[ \text{Rate} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \] -
Determine how many days it will take to produce 75 toys:
Now we can use the formula: \[ \text{Time} = \frac{\text{Total Toys}}{\text{Rate}} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \]Performing the calculation: \[ \text{Time} = \frac{75}{1.6} \approx 46.875 \text{ days} \]
-
Round to the nearest whole number:
Rounding 46.875 gives us approximately 47 days.
Therefore, it will take Jamal 47 days to fill the order of 75 toys. The answer is 47 days.