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Let the amount of cashew be x and that of peanuts be y.
Using the given information:
The sum of x and y is half a pound i.e
[tex]x\text{ + y = 0.5}[/tex]The sum of the amount of cashew and peanuts is $1.7 i.e:
[tex]5.75x\text{ + 2y = 1.7}[/tex]Solving both equations using the graphical method we can obtain the values of x and y
The graph of the equations is shown below. The graph is plotted using a graphing calculator
From the graph, we have the point of intersection of the two lines to be:
(0.187, 0.313)
Answer:
0.187lb of cashew and 0.313lb of peanuts (Option A)