Question

the owner of Nuts2U Snack Shack mixes cashews worth $5.75lb with peanuts worth $2.00lb to get a half pound mixed nut bag worth $1.70. How much of each kind of nut is included in the mixed bad?

Answer 1

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

`x\text{ + y = 0.5}`

The sum of the amount of cashew and peanuts is $1.7 i.e:

`5.75x\text{ + 2y = 1.7}`

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)