You are applying fertilizer to a football field. The field is 360 feet long and 160 feet wide. You use 8 pounds of fertilizer per 1,000 square feet. The fertilizer comes in 50-pound bags. How many bags of fertilizer will you need to complete the job?

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luisejr77 luisejr77 · Answer 1 · 2019-06-14T19:10:15+02:00

Answer: 10 bags

Step-by-step explanation:

First we must calculate the field area. Assuming it is a rectangle then its area equals the product of its length times its width

[tex]A =360*160\\\\A = 57600 ft^2[/tex]

You use 8 pounds of fertilizer per 1,000 square feet

So the amount of fertilizer you should use is:

[tex]57,600 ft^2 * \frac{8\ pounds}{1,000\ ft^2} = 460.8\ pounds[/tex]

As the fertilizer comes in bags of 50 pound then you need

[tex]460.8\ pounds * \frac{1\ bag}{50\ pounds} = 9.2\ bags[/tex]

Since you can not buy 9.2 bags then we round up to the next whole number.

Finally you need 10 bags of fertilizer