Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rat, how many days will it take to fill an order of 75? Round to the nearest whole number of days.
Options:
375 days
120 days
47 days
10 days
To find the number of days it will take to fill an order of 75 toys, we can use the following proportion:
8 toys / 5 days = 75 toys / x days
To solve for x, cross-multiply and divide:
8x = 5 * 75
8x = 375
x = 375 / 8
x ≈ 46.875
Rounding to the nearest whole number, it will take Jamal approximately 47 days to fill an order of 75 toys.
Therefore, the correct option is: 47 days.
To find the number of days it will take Jamal to fill an order of 75 toys, we can set up a proportion.
If Jamal is creating 8 toys every 5 days, we can write it as:
8 toys / 5 days = 75 toys / x days
To solve for x, we can cross-multiply and then divide:
8x = 75 * 5
8x = 375
x = 375 / 8
Dividing 375 by 8 gives us approximately 46.875.
Rounding to the nearest whole number, it will take Jamal approximately 47 days to fill an 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 need to determine how many sets of 5 days it will take to reach or exceed 75 toys.
To do this, we can set up a proportion:
8 toys / 5 days = 75 toys / x days
To solve for x, we can cross-multiply:
8 * x = 5 * 75
Now we can simplify the equation:
8x = 375
To isolate x, we divide both sides of the equation by 8:
x = 375 / 8
Using a calculator, we find that x is approximately 46.875.
Since we are asked to round to the nearest whole number of days, we round x to the nearest whole number, which is 47.
Therefore, it will take Jamal approximately 47 days to fill an order of 75 toys. The correct option is 47 days.