SOLUTION: ellen wants to mix candy worth 1.09$ per pound with candy worth $3.32 per pound to form 25 pounds of a mixture worth $2.43 per pound. how many pounds of the expensive candy should

Question 730110: ellen wants to mix candy worth 1.09$ per pound with candy worth $3.32 per pound to form 25 pounds of a mixture worth $2.43 per pound. how many pounds of the expensive candy should she use?
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
price ---------------- quantity
Candy type I 3.32 ---------------- x pounds
Candy type II 1.09 ------ 25 - x pounds
Mixture 2.43 ---------------- 25
25
3.32 x + 1.09 ( 25 - x ) = 60.75
3.32 x + 27.25 - 1.09 x = 60.75
3.32 x - 1.09 x = 60.75 - -27.25
2.23 x = 33.5
/ 2.23
x = 15.02 pounds 3.32 Candy type I
9.98 pounds 2.43 Candy type II

m.ananth@hotmail.ca

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of $1.09 candy needed
Let = pounds of $3.32 candy needed
given:
(1)
(2)
---------------------------------
(2)
(2)
--------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

15.022 pounds of $3.32 candy is needed
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
Close enough

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