For example, a 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, parker's premium starter, has 18 pounds of nitrogen, 25 pounds of phosphoric acid, and 6 pounds of potash per bag. determine the number of bags of each type required to yield a mixture containing 181 pounds of nitrogen, 65 pounds of phosphoric acid, and 32 pounds of potash.

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:

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:

One incognita is cleared depending on the other

The values obtained in the second are replaced

With the value of B it is replaced in the first one to obtain the value of A:

Answer

5 bags of Vigoro Ultra Turf and 2 of Parker's Premium Starter are needed

step-by-step explanation:

3/4 ÷ 3/4

step-by-step explanation:

basically divide any proper fraction with itself to fit the criteria.

so if we are using 3/4, then:

3/4 ÷ 3/4 = 1

so 1 is the quotient.

and the numerators for both these fractions is 3.   and if we divide the numerators:

3 ÷ 3 = 1

we see that quotient is equal to our original quotient as well.