SOLUTION: The manager of a specialty food store combined almonds that cost $4.50 per pound with walnuts that cost $2.50 per pound. How many pounds of each were used to make a 100-pound mixtu

Question 162206: The manager of a specialty food store combined almonds that cost $4.50 per pound with walnuts that cost $2.50 per pound. How many pounds of each were used to make a 100-pound mixture that cost $3.23 per pound?
Found 2 solutions by checkley77, jojo14344:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
4.50x+2.50(100-x)=3.23*100
4.50x+250-2.5x=323
2x=323-250
2x=73
x=73/2
x=36.5 pounds of $4.50 almonds are used.
100-36.5=63.5 pounds of $2.50 walnuts are used.
Proof:
4.5*36.5+2.5*63.5=323
164.25+158.75=323
323=323
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!

-------------> EQN 1, Almond and walnuts mixed produced 100lbs
In EQN 1 we get,
-------------> EQN 2
Also take note,
-------------------> EQN 3
Subst. EQN 2 in EQN 3:
, distribute
, combine similar terms

-------->

For Almonds, go back EQN 2,

In doubt? Go back EQN 3,

Thank you,
Jojo
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