Problema Solution

a grocer has two kinds of candies. One costs $5/kg and another costs $4.20/kg. How many kilograms of each type of candy should be mixed in order to get 60 kg of a mixture worth $4.80/kg?

Answer provided by our tutors

let


x = kg of the $5/kg type of candy


y = kg of the $4.20/kg type of candy


the mix weights 60 kg and it costs $4.80/kg


x + y = 60


5x + 4.20y = 4.80*60


by solving the above system of equations we find


x = 45 kg


y = 15 kg


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45 kg of the $5/kg type of candies and 15 kg of the $4.20/kg type of candies should be mixed.