SOLUTION: almonds cost $1.60 per pound. Walnuts cost $1.10 per pound. how many pounds of each shuold be mixed to produce a 40 pound mixture at $1.25 per pound? x=12 , there are 12 pound

Question 165563: almonds cost $1.60 per pound. Walnuts cost $1.10 per pound. how many pounds of each shuold be mixed to produce a 40 pound mixture at $1.25 per pound?

x=12 , there are 12 pounds of almonds and 28 pounds of walnuts

need a break down of how x=12, and that there are 12 pounds of almonds and 28 pounds of walnuts.
Found 2 solutions by ptaylor, jojo14344:
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of almonds needed
Then 40-x=amount of walnuts needed
($ understood)
Now we know that the value of the almonds (1.60x) plus the value of the walnuts (1.10(40-x)) has to equal the value of the final mixture (1.25*40), so our equation to solve is:
1.60x+1.10(40-x)=1.25*40 get rid of parens distributive
1.60x+44-1.10x=50 subtract 44 from each side
1.60x+44-44-1.10x=50-44 collect like terms
0.50x=6 divide each side by 0.5
x=12 lbs ------------------amount of almonds needed
40-x=40-12=28 lbs --------------------amount of walnuts needed
CK
1.60*12+1.10*28=50
19.2 + 30.8=50
50=50
Hope this helps---ptaylor

Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

Remember: -------------> EQN 1
Now the mixture for both w/ repective rate:
---------> EQN 2
In EQN 1, we get,
--------------------------> EQN 3
Subst. EQN 3 in EQN 2:

Via EQN 3:
--->
In doubt? Go back EQN 2:

Thank you,
Jojo
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