Problema Solution

a grocer wants to mix candy worth 95 cents per kilogram with candy worth 80 cents per kilogram to make a blend to sell at 90 cents per kilogram. if he blends 90 kilograms of candy, how many kilograms of each kind must he use?

Answer provided by our tutors

Let

x = the weight of the candy worth 95 cents per kilogram

y = the weight of the candy worth 80 cents per kilogram 

Now, we can write the following system of equations:

x + y = 90

0.95x + 0.80y = 0.90*90

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Click here to see the step by step solution for the system of equations

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x = 60 kg

y = 30 kg

The grocer should bland 60 kg  of the candy worth 95 cents per kilogram and 30 kg of the candy worth 80 cents per kilogram.