Mixing water

The 30-liter container should we fill with water at 60 degrees Celsius. How many liters of water 80 degrees C hot and how many liters of water 20 degrees Celsius warm we have to mix?

Correct answer:

a =  20
b =  10

Step-by-step explanation:

a+b = 30
80a + 20b = 60•(a+b)

a+b = 30
80•a + 20•b = 60•(a+b)

a+b = 30
20a-40b = 0

a = 20
b = 10

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