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Fertilizer is sold in 100 pound bags labelled with the amount of nitrogen ( N), phosphoric acid ( P2O5), and potash ( K2O) present. The mixture of these nutrients varies from one type of fertilizer to the next. For example, a 100 pound bag of Vigoro Ultra Turf fertilizer contains 29 pounds of nitrogen, 3 pounds of phosphoric acid, and 4 pounds of potash. Another type of fertilizer, Parkerâs Premium Starter, has 18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash per 100 pounds. Determine the amount of each type required to yield a mixture containing the 177 pounds of nitrogen, 134 pounds of phosphoric acid, and 42 pounds of potash.

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Answer:

You need to add 3 100 pound bags of  Parkerâs Premium Starter and 5 100 pound bags of Vigoro Ultra Turf fertilizer

Explanation:

You can obtain 3 equations. One for each compound:

For N:

177 pounds = 29x + 18y (1)

-Where x are bags of Vigoro Ultra Turf fertilizer and y are bags of  Parkerâs Premium Starte-

For P₂O₅:

134 pounds = 3x + 25y (2)

For K₂O:

42 pounds = 4x + 6y (3)

Replacing (1) in (2):

134 = (531/29 - 54y/29) + 25y

3355/29 = 671y/29

y = 5 bags

Thus,

x = 3 bags

You can replace in each equation to prove that this is the right result.

I hope it helps!

The study of chemicals and bonds is called chemistry. There are two types of elements and these are metals and nonmetals.

The correct answer to the question is 3 bags.

What is fertilizer?

  • A fertilizer or fertilizer is any material of natural or synthetic origin that is applied to soil or to plant tissues to supply plant nutrients.
  • Fertilizers may be distinct from liming materials or other non-nutrient soil amendments. Many sources of fertilizer exist, both natural and industrially produced

You need to add 3 100 pound bags of  Parkerâs Premium Starter and 5 100 pound bags of Vigoro Ultra Turf fertilizer

You can obtain 3 equations. One for each compound:

177 pounds = 29x + 18y------> (1)

-Where

x are bags of Vigoro Ultra Turf fertilizer and y are bags of  Parkerâs Premium Started-

For P₂O₅:

134 pounds = 3x + 25y ---->(2)

For K₂O:

42 pounds = 4x + 6y ------->(3)

Replacing (1) in (2):

[tex]134 = (\frac{531}{29} - \frac{54y}{29}) + 25y\frac{3355}{29} = \frac{671y][29}[/tex]

y = 5 bags, x = 3 bags

For more information about the fertilizer, refer to the link:-

https://brainly.com/question/14688752

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