Question

could you possibly help me with this question? (its not part of a graded assignment, just a review from an online course of mine)

Answer 1

Let:

x = Pounds of walnuts in the mix.

Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.

Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10

The total cost of the mix is, therefore: 0.8x + 10 dollars.

We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.

Equating both costs:

0.8x + 10 = 1*(8 + x)

Operating:

0.8x + 10 = 8 + x

Subtracting x and 10:

0.8x - x = 8 - 10

Simplifying:

-0.2x = -2

Dividing by -0.2:

x = -2/(-0.2)

x = 10

Answer: 10 pounds