Solving Ratio & Proportion | Nitrogen, Phosphorus, Potassium Removal

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Homework Help Overview

The discussion revolves around a problem related to ratios and proportions in the context of agricultural yield, specifically focusing on the removal of nitrogen, phosphorus, and potassium (N, P, and K) from corn crops. The original poster seeks assistance in determining the amount of these nutrients removed by a higher yield of corn.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between bushels of corn and the corresponding weight of nutrients removed, questioning how to set up the ratio correctly. There is confusion regarding the units of bushels and pounds, and participants explore how to establish an equation based on the given ratios.

Discussion Status

The conversation is ongoing, with participants attempting to clarify the setup of the problem and the relationships between the quantities involved. Some guidance has been provided regarding the formulation of the equation, but there is still uncertainty about the correct interpretation and execution of the calculations.

Contextual Notes

Participants note the distinction between bushels and pounds, which are different units of measurement, and this has led to some confusion in the problem-solving process. There is also a suggestion that the problem may be more appropriately categorized under precalculus rather than calculus.

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If 100 bu of corn per acre remove 90lb of nitrogen, phosphorus, and potassium (N, P, and K, respectively), how many pounds of N, P, and K are removed by the yield of 135u per acre?


I try to figure out how to starting to solve this problem but don't know how

some help please
 
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This is hardly a "Calculus and Beyond" problem. A better place would be the Precalculus section.

Wouldn't the ratio of 100 bu of corn to 90 lb N, P, and K be the same as the ratio of 135 lb corn to X lb of N, P, and K?

Start with that.
 
I am still confuse don't know how to start, the bu and lb are same thing?
 
No, they're not. bu stands for bushel, a unit of volume, and lb stands for "pound", a unit of weight.

Start by translating this sentence into an equation: Wouldn't the ratio of 100 bu of corn to 90 lb of fertilizer be the same as the ratio of 135 lb corn to X lb of fertilizer?
 
ok here I got 100bu/90lb=135bu/xlb
then I cross multiply
90*135 = 12150/100
= 121.5lb
please advise me see if this is right

thanks
 
xbebegirlx said:
ok here I got 100bu/90lb=135bu/xlb
Yes.
xbebegirlx said:
then I cross multiply
90*135 = 12150/100
= 121.5lb
Where did x go? You started with an equation with x, and you should end up with an equation that has x = ...
xbebegirlx said:
please advise me see if this is right

thanks
 

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