SOLUTION: a candy mix is to be made by mixing candy worth $12 per kilogram with candy worth $15 per kilogram to get 120 kilograms of a mixture worth $13 per kilogram. How many kilograms of e

Question 526457: a candy mix is to be made by mixing candy worth $12 per kilogram with candy worth $15 per kilogram to get 120 kilograms of a mixture worth $13 per kilogram. How many kilograms of each should be used ?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = kgs of $12/kg candy needed
Let = kgs of $15/kg candy needed
given:
= cost of $12/kg candy
= cost of $15/kg candy
cost of mixture
-----------------------------
(1)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)

and
(1)
(1)
(1)
80 kgs of $12/kg candy are needed
40 kgs of $15/kg candy are needed
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