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Answer :
Final answer:
To apply 2 pounds of actual nitrogen per 1000 square feet to a 100 by 130 foot lawn, approximately 144 pounds of 18-6-12 fertilizer is required. This is calculated by determining the total nitrogen needed based on the lawn area and then dividing by the percentage of nitrogen in the fertilizer.
Explanation:
The problem involves calculating the amount of fertilizer needed based on a given nitrogen content for a specific lawn area. Given that the lawn size is 100 by 130 feet, we first calculate the total area:
Lawn area = 100 feet x 130 feet = 13,000 square feet
Since the desired application rate is 2 pounds of nitrogen per 1000 square feet, we need:
Total nitrogen needed = (Lawn area / 1000 square feet) x 2 pounds of nitrogen
Total nitrogen needed = (13,000 square feet / 1000) x 2
Total nitrogen needed = 13 x 2
Total nitrogen needed = 26 pounds of nitrogen
The fertilizer is an 18-6-12 blend, meaning it contains 18% nitrogen. To find the pounds of fertilizer required to supply the nitrogen, we use the following formula:
Pounds of fertilizer = Total nitrogen needed / Percentage of nitrogen in fertilizer
Pounds of fertilizer = 26 pounds / 0.18
Pounds of fertilizer = 144.44 pounds
Therefore, the closest answer to the pounds of 18-6-12 fertilizer needed is approximately 144 pounds (Option c).
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