Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days. (1 point) Responses 47 days 47 days 375 days 375 days 10 days 10 days 120 days

Answer 1

First, we determine Jamal's rate of toy production. He averages 8 toys every 5 days, which means he produces:

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

Next, we want to find out how many days it will take to fill an order of 75 toys. We can calculate this using the formula:

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

Calculating that gives:

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

Rounding to the nearest whole number, we find:

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

Thus, the answer is 47 days.