A bag of fetilizer that weighs 18 3/4 pounds can cover 5000 sq feet.
how many pounds of fetilizer will be needed to cover 27,000 square feet? how many bags of fertilizer are needed? explain how you found your answer
27,000 / 5,000 = 5.4 bags
5.4 * 18.76 = ?
101.304
To find out how many pounds of fertilizer will be needed to cover 27,000 square feet, we can set up a proportion using the given information.
We know that a bag of fertilizer weighing 18 3/4 pounds can cover 5000 square feet. So, the proportion can be set up as follows:
18 3/4 pounds / 5000 square feet = x pounds / 27,000 square feet
To solve this proportion, we can cross-multiply:
(18 3/4 pounds) × (27,000 square feet) = (5000 square feet) × (x pounds)
Using mixed number multiplication, we can convert the mixed number to an improper fraction:
(75/4 pounds) × (27,000 square feet) = (5000 square feet) × (x pounds)
Now we can simplify the equation:
(75/4) × 27,000 = 5000 × x
To solve for x, we divide both sides of the equation by 5000:
(75/4) × 27,000 / 5000 = x
Now let's calculate the solution step by step:
(75/4) × 27,000 = 202,500
202,500 / 5000 = 40.5
So, to cover 27,000 square feet, we will need approximately 40.5 pounds of fertilizer.
Now, to determine the number of bags needed, we can divide the total pounds needed (40.5 pounds) by the weight of one bag (18 3/4 pounds):
40.5 pounds / (18 3/4 pounds) ≈ 2.16
Since we can't use a fraction of a bag, we need to round up to the nearest whole number. Therefore, we will need a minimum of 3 bags of fertilizer to cover 27,000 square feet.
In summary, based on the given information, we found that approximately 40.5 pounds of fertilizer will be needed to cover 27,000 square feet. This translates to a minimum of 3 bags of fertilizer.