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 numbers of days
120 days
375 days
10 days
47 days
To find out how many days it will take to fill an order of 75 toys, we can set up a proportion.
The rate of 8 toys every 5 days can be written as 8 toys / 5 days.
Let's use x to represent the number of days it will take to fill the order of 75 toys.
This can be written as x days / 75 toys.
Setting up the proportion: 8 toys / 5 days = x days / 75 toys.
Cross-multiplying, we get: 8 * 75 = 5 * x.
Simplifying, we have: 600 = 5x.
Dividing both sides of the equation by 5, we find: x = 120.
Thus, it will take Jamal 120 days to fill an order of 75 toys.
Therefore, the answer is 120 days.
To find the number of days it will take to fill an order of 75 toys at an average rate of 8 toys every 5 days, we can set up a proportion:
8 toys / 5 days = 75 toys / x days
To solve for x, we can cross multiply:
8x = 5 * 75
8x = 375
Dividing both sides by 8, we get:
x = 375 / 8
x ≈ 46.875
Rounding to the nearest whole number, it will take approximately 47 days to fill the order of 75 toys.
Therefore, the correct answer is: 47 days.
To find out how many days it will take Jamal to fill an order of 75 toys, we can use a proportion.
First, we need to determine how many toys Jamal produces in one day. We can find this by dividing the number of toys he produces in 5 days by 5.
8 toys / 5 days = 1.6 toys/day (rounded to one decimal place)
Now, we can set up a proportion to find out how many days it will take to fill an order of 75 toys.
1.6 toys/day = 75 toys/x days
To solve for x (the number of days), we can cross-multiply:
1.6x = 75
Next, divide both sides of the equation by 1.6 to isolate x:
x = 75 / 1.6
Using a calculator, we can find that x is approximately 46.875. However, since we need to round to the nearest whole number of days, we'll round up to 47.
Therefore, it will take Jamal approximately 47 days to fill an order of 75 toys.