Kilograms 4361

From two types of coffee for 450 CZK and 730 CZK per 1 kg, our task is to prepare 20 kg of the blend at a price of 520 CZK per kg. How many kilograms of each type of coffee will be needed to make such a blend?

Correct answer:

a =  15 kg
b =  5 kg

Step-by-step explanation:


a+b=20
450a + 730b = 520·20

a+b=20
450·a + 730·b = 520·20

a+b = 20
450a+730b = 10400

Pivot: Row 1 ↔ Row 2
450a+730b = 10400
a+b = 20

Row 2 - 1/450 · Row 1 → Row 2
450a+730b = 10400
-0.62b = -3.11


b = -3.11111111/-0.62222222 = 5
a = 10400-730b/450 = 10400-730 · 5/450 = 15

a = 15
b = 5

Our linear equations calculator calculates it.



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