Solve Ratio Problems with Proportions Quick Check

To find out how many days it will take Jamal to fill an order of 75 toys, we can first determine his rate of production.

Jamal produces 8 toys every 5 days. To find out how many toys he produces in one day, we can compute:

\[ \text{Toys per day} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \]

Now, we need to find out how many days it will take him to produce 75 toys. We can use the formula:

\[ \text{Days needed} = \frac{\text{Total toys}}{\text{Toys per day}} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \]

Calculating this gives:

\[ \text{Days needed} = \frac{75}{1.6} \approx 46.875 \]

Rounding to the nearest whole number gives us:

\[ \text{Days needed} \approx 47 \text{ days} \]

So, the answer is:

47 days