# The owner of Snack Shack mixes cashews worth $5.75 a pound with peanuts worth $2.30 a pound to get a half-pound, mixed-nut bag worth $1.90, How much of each kind of nut is included in the mixed bag?

##### 2 Answers

#### Answer:

#### Explanation:

I haven't been doing the undated ones lately, but I like nuts.

Let

We have

Check:

#### Answer:

Cashew nuts

Peanuts

#### Explanation:

Final blend

Let the weight in pound of cashew nuts be

Let the weight in pound of peanuts be

We know that by weight:

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The slope of part is the same as the slope of all

Slope

From the above:

From the above

So if all cashew nuts the cost is

The **blend** cost will be in between at $1.90

Turn everything up the other way to get the

Thus

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