Question

Leroy uses 20 pounds of fertilizer to cover 4,000 sq ft of his lawn and 50 pounds to cover 10,000 sq ft. How much does he need to cover his entire yard which has an area of 26,400 sq ft?

Answer 1

Leroy will need 132 pounds of fertilizer to cover his entire yard of 26,400 sq ft.

Step-by-step explanation:

The question involves determining how much fertilizer Leroy needs to cover his entire yard, which is a problem of proportion in Mathematics. To solve this, we will use the known areas and amounts of fertilizer and set up a proportion to find the unknown amount needed. Since Leroy uses 20 pounds of fertilizer for 4,000 sq ft, we can find the rate of fertilizer per square foot and then use this rate to calculate the needed amount for 26,400 sq ft.

First, we find the fertilizer rate per square foot:

Rate = 20 pounds / 4,000 sq ft = 0.005 pounds per sq ft

Then, we multiply this rate by the total area of Leroy's yard:

Amount needed = 0.005 pounds per sq ft × 26,400 sq ft = 132 pounds of fertilizer

Therefore, Leroy will need 132 pounds of fertilizer to cover his entire yard.