Solve Ratio Problems with Proportions Quick Check

Question

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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

375 days
375 days

120 days
120 days

47 days
47 days

10 days
10 days

Answer 1

To solve the problem, we can set up a proportion based on Jamal’s rate of producing toys.

Jamal is averaging 8 toys every 5 days. To find out how many days it will take to fill an order of 75 toys, we can first determine how many toys he makes in one day:

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

Next, we want to find out how many days it will take him to make 75 toys. We can set up the equation:

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

Calculating this gives:

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

Rounding this to the nearest whole number gives us 47 days.

So, the correct answer is:

47 days