Respuesta :
When we are given information on different products and are asked to calculate a result from these, we are generally being provided with equations, in this case to calculate the number of bags required to make the requested mixture we have the following equations:
[tex]29A+18B=181\\3A+25B=65\\4A+6B=32[/tex]
Where A and B represent the number of bosas of each fertilizer brand, as we have two unknowns we will use two equations like this:
[tex]1) 3A+25B=65\\2) 4A+6B=32[/tex]
One incognita is cleared depending on the other
[tex]2) 4A+6B=32\\4A=32-6B\\A=8-\frac{6}{4} B[/tex]
The values obtained in the second are replaced
[tex]1) 3A+25B=65\\3(8-\frac{6}{4} B)+25B=65\\24-\frac{18}{4} B+25B=65\\B(-\frac{18}{4}+\frac{100}{4})=41\\B(\frac{82}{4})=41\\B(\frac{41}{2})=41\\B=2[/tex]
With the value of B it is replaced in the first one to obtain the value of A:
[tex]A=8-\frac{6}{4} B\\A=8-\frac{12}{4}\\A=8-3\\A=5[/tex]
Answer
5 bags of Vigoro Ultra Turf and 2 of Parker's Premium Starter are needed
