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)

47 days
120daya
10days
375days

To find the number of days it will take to fill an order of 75 toys, divide the number of toys by the rate at which Jamal is producing toys.

75 toys / 8 toys per 5 days = 9.375 days

Rounding to the nearest whole number, it will take Jamal approximately 9 days to fill an order of 75 toys.

To find out how many days it will take to fill an order of 75 toys, we can set up a proportion.

The average number of toys Jamal makes in 5 days is 8. So, in 1 day he makes 8/5 = 1.6 toys.

Let x be the number of days it takes to make 75 toys.

Now we can set up the proportion:

1.6 toys / 1 day = 75 toys / x days

To solve for x, we can cross multiply:

1.6 * x = 75

Divide both sides of the equation by 1.6:

x = 75/1.6

x ≈ 46.875

Rounding to the nearest whole number, it will take 47 days to fill the order of 75 toys.

Therefore, the correct answer is 47 days.

To solve this problem, we need to determine the number of days it takes for Jamal to create 75 toys at a rate of 8 toys every 5 days.

First, we can find the number of toys created in one day by dividing the number of toys created in 5 days (which is 8) by 5: 8 toys / 5 days = 1.6 toys/day.

Next, we can find the number of days it takes to create 75 toys by dividing 75 toys by the average number of toys created in one day: 75 toys / 1.6 toys/day ≈ 46.875 days.

Since we need to round to the nearest whole number, the answer is approximately 47 days. Therefore, the correct answer is "47 days."