Answer:
For Vigoro are needed
2929*35.8479 ≅ 104,988.49 (N)
33*3.4351≅113.35 (A)
44*31.2181≅1373.59 (P)
For Parkera are needed
1818*35.8479≅65,171.48 (N)
2525*3.4351≅8673.62 (A)
66*31.2181≅2060.39 (P)
Step-by-step explanation:
we have that in every 100100 pounds of compound nitrogen (N), phosphoric acid (A) and potash (P) are present and that according to the product brand the concentrations vary, therefore:
For Vigoro
2929 N, 33 A, 44 P
For Parkeras
1818 N, 2525 A, 66 P
Now, we need 170170 N, 8787 A and 3434 P of final product containing the components of the types of fertilizers
You can see that the compounds are the same what changes are the proportions from there that
2929N+1818N=170170 ⇒ 4747N=170170 ⇒ N=170170/4747 ≅ 35.8479
33A+2525A=8787 ⇒ 2558A=8787 ⇒ A=8787/2558 ≅ 3.4351
44P+66P = 3434 ⇒ 110P=3434 ⇒ P=3434/110 ≅ 31.2181
Finally
For Vigoro are needed
2929*35.8479 ≅ 104,988.49 (N)
33*3.4351≅113.35 (A)
44*31.2181≅1373.59 (P)
For Parkera are needed
1818*35.8479≅65,171.48 (N)
2525*3.4351≅8673.62 (A)
66*31.2181≅2060.39 (P)
Note: to verify the data, just replace the values in the equations
