Question

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

10 days
10 days

375 days
375 days

47 days
47 days

120 days

1 answer

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

Jamal averages 8 toys every 5 days. To find his daily production rate:

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

Next, we need to find out how many days it will take to produce 75 toys:

\[ \text{Days needed} = \frac{75 \text{ toys}}{1.6 \text{ toys/day}} = 46.875 \text{ days} \]

Rounding to the nearest whole number:

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

Therefore, it will take approximately 47 days to fill the order.

The correct response is:

47 days