## The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to make a 36 p

Question

The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to make a 36 pound mixture that sells for 5.69 per pound?

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2 weeks 2021-11-13T20:21:22+00:00 1 Answer 0 views 0

## Answers ( )

19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

Step-by-step explanation:

Given:

The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.

Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.

Let the quantity of cashews be

Let the quantity of brazil nuts be

So, total pound of mixture of nuts:

Now, the total price of mixture per pound:

Substituting the value of from equation (1) we get:

Subtracting both sides by 144 we get:

Dividing both sides by 3.2 we get:

The quantity of cashews = 19.01 pound.

Now, substituting the value of in equation (1) we get:

The quantity of brazil nuts = 16.99 pounds.

Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.