Expensive 4478

Five liters of white wine and 6 liters of red wine were for 432 CZK. 1 liter of red wine is CZK 6 more expensive than 1 liter of white wine. How much do we pay for 1 liter of white and 1 liter of red wine?

Correct answer:

a =  36 Kc/l
b =  42 Kc/l

Step-by-step explanation:


5a+6b = 432
b = 6+a

5·a+6·b = 432
b = 6+a

5a+6b = 432
a-b = -6

Row 2 - 1/5 · Row 1 → Row 2
5a+6b = 432
-2.2b = -92.4


b = -92.4/-2.2 = 42
a = 432-6b/5 = 432-6 · 42/5 = 36

a = 36
b = 42

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