Forty ounces of Lazy Lawn fertilizer covers 1,250 square feet of lawn.(a)How many ounces would be required to cover a 9,000 square foot lawn? ounces(b)If Lazy Lawn costs $1.11 for a 36 ounce bag, what is the total cost (in dollars) to fertilize the lawn?$

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(a) Given that 40 ounces of Lazy Lawn fertilizer cover 1,250 square feet of lawn, let be "x" the number of ounces that would be required to cover a 9,000 square foot law.

You can set up the following proportion:

[tex]\frac{40}{1250}=\frac{x}{9000}[/tex]

Now you need to solve for "x", in order to find its value:

[tex](9000)(\frac{40}{1250})=x[/tex][tex]x=288[/tex]

(b) You know that Lazy Lawn costs $1.11 for a 36-ounce bag.

Let be "c" the total cost (in dollars) to fertilize the 9,000 square-foot lawn.

Knowing that 288 ounces are required to cover that lawn, you can set up this proportion:

[tex]\frac{1.11}{36}=\frac{c}{288}[/tex]

Solving for "c", you get:

[tex](288)(\frac{1.11}{36})=c[/tex][tex]c=8.88[/tex]

Hence, the answers are:

(a)

[tex]288\text{ }ounces[/tex]

(b)

[tex]\text{ \$}8.88[/tex]

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