Given:
Hazelnuts sells for $6.50/pound and peanuts nuts sells for $4.70/pound
Let the number of pounds of Hazelnuts be x and the number of pounds of peanut nuts be y
The company wants a 36 pound mixture. We can write this mathematically as:
[tex]x\text{ + y = 36}[/tex]The mixture sells for $5.40 per pound. We can write this mathematically as:
[tex]\begin{gathered} 6.50x\text{ + 4.70y = 5.40}\times\text{ 36} \\ 6.50x\text{ + 4.70y = }194.4 \end{gathered}[/tex]Solving the equations simultaneously using a graphical approach.
Using a graphing tool, the graph of the equations is shown below:
The point of intersection of the lines is (14, 22)
We can conclude that the company would need 14 pounds of