Question

How many pounds of sunflower seed does the mixture contain?

Answer 1

Step-by-step explanation

In the question, we are given that the millet seeds and the sunflowers seed are packaged in 5 pounds back.

We can assume that the pounds of millet seeds be x and the pounds of sunflower seeds be y. We can therefore create the equation;

`x+y=5----(1)`

Next, we know that a pound of sunflower seed cost $1.75 and a pound of millet seed cost $2.50 and the mixture is sold for $11.60. This will imply;

`2.50x+1.75y=11.60----(2)`

We will then solve the above equation simultaneously.

`\begin{gathered} \text{Isolate x for x+y =5} \\ x=5-y-----(3) \end{gathered}`

Insert equation 3 in equation 2

`\begin{gathered} 2.50(5-y)+1.75y=11.60 \\ 12.5-0.75y=11.6 \\ 0.75y=12.5-11.6 \\ 0.75y=0.9 \\ y=(0.9)/(0.75) \\ y=1.2 \end{gathered}`

Since the weight of the sunflower seed is represented by y, therefore the answer is;

Answer: 1.2 pounds