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)

Question

Responses

375 days
375 days

120 days
120 days

47 days
47 days

10 days
10 days
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Answer 1

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 use the following steps:

1. Determine the rate of production:

   • Jamal’s rate is 8 toys per 5 days. To find the rate per day, we divide the number of toys by the number of days: \[ \text{Rate} = \frac{8 , \text{toys}}{5 , \text{days}} = 1.6 , \text{toys per day} \]

2. Calculate the total number of days required to produce 75 toys:

   • We can use the formula: \[ \text{Days required} = \frac{\text{Total toys needed}}{\text{Rate}} \]
   • Plug in the values: \[ \text{Days required} = \frac{75 , \text{toys}}{1.6 , \text{toys per day}} = 46.875 , \text{days} \]

3. Round to the nearest whole number:

   • Rounding 46.875 gives us approximately 47 days.

Therefore, the answer is 47 days.