# Question #9c89b

##### 2 Answers

**lbs of nuts to be mixed with** **lbs of raisins .**

#### Explanation:

Let nuts combined is

Cost of nuts is

Hence Cost of nuts ans raisins is

Selling price of mix is

Hence

Raisons

Nuts

#### Explanation:

If you have all nuts then the cost per pound is $6

If you have all raisons then the cost per pound is $3

The target blend will give a cost per pound of $4

The change in cost has a direct relationship to the proportion of nuts in the blend. Thus we can plot a straight line graph linking blend cost to the weight of nuts in the blend.

The slope (gradient) for part of it is the same as that for all of it

Let the unknown weight of nuts be

Then gradient is such that:

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Thus the raisins weight is

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Check: