SOLUTION: A nut shop sells almonds for $7.75 per pound and peanuts for $3.25 per pound. in order to sell an overstock of peanuts, the shop owner decides to mix the peanuts and almonds. How m

Question 692994: A nut shop sells almonds for $7.75 per pound and peanuts for $3.25 per pound. in order to sell an overstock of peanuts, the shop owner decides to mix the peanuts and almonds. How many pounds of each kind of nut are in a 4 pound mixture that costs $19?
>>>I do not know how to set up the equation my professor doesn't explain problems well. Also, I want to know what are each of the steps involved in this equation I tried finding a similar problem in the book but was unsuccessful.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of almonds needed
Let = pounds of peanuts needed
given:
(1)
(2)
Note that this is just
( cost of almonds used ) + ( cost of peanuts used ) = ( cost of mixture )
---------------------------
Most of the other problems are a little different.
Most give the cost/pound of the final mixture
instead of the total cost of the final mixture.
It doesn't really matter- just an observation.
--------------------------------------
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
(1)
1.333 pounds of almonds are needed
2.667 pounds of peanuts are needed
-----------
check:
(2)
(2)
(2)
(2)
I think the error is due to rounding off
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