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 1000 square feet. The fertilizer comes in 50- pound bags. How many bags of fertilizer will you need to complete this job?

Respuesta :

10 bags of fertilizer for the field

Answer:

10 bags

Step-by-step explanation:

Length of field = 360 feet.

Width of field = 160 feet

Area of field = [tex]Length \times Width[/tex]

                    = [tex]360 \times 160[/tex]

                    = [tex]57600 feet^2[/tex]

Amount of Fertilizer used for 1000 sq.ft. = 8 pounds

Amount of Fertilizer used for 1 sq.ft. = [tex]\frac{8}{1000}[/tex]

Amount of Fertilizer used for 57600 sq.ft. = [tex]\frac{8}{1000} \times 57600[/tex]

                                                                     = [tex]460.8 pounds[/tex]

50 pounds = 1 bag

So, 1 pound = [tex]\frac{1}{50}[/tex]

So, 460.8 pounds = [tex]\frac{1}{50} \times 460.8=9.216 [/tex]≈ 10

So, 10 bags will be required to complete the job.