Question

The Nutty Professor sells cashes for $6.00 per pound and Brazil nuts for $5.30 per pound. How much of

each type should be used to make a 35 pound mixture that sells for $5.64 per pound?​

Answer 1

17 pound of cashew and 18 pound of Brazil nuts

Explanation:

Let X be the amount of cashews that the nutty professor will mix.

Since, the total weight of the nuts should be 35 lbs

The amount of Brazil nuts = 35 - X

Now,

`6x + 5.30(35 - x) = 5.64(35)`

`600x + 530(35 - x) = 564 * 35`

`600x + 18550 - 530x = 19740`

`70x = 19740 - 18550`

`70x = 1190`

`x = (1190)/(70)`

`x = 17`

Again,

`35 - x`

`35 - 17`

`18`

17 pounds of cashew and 18 pounds of Brazil nuts.

Hope this helps...

Good luck on your assignment...