Tea mixture

Of the two sorts of tea for 180 CZK/kg and 240 CZK/kg, we make a mixture of 12 kg that we should prepare for 200 CZK / kg. How many kilos of each sort of tea will we need to be mixed?

Correct answer:

a =  8 kg
b =  4 kg

Step-by-step explanation:


a+b=12
180a + 240b = 200·12

a+b=12
180·a + 240·b = 200·12

a+b = 12
180a+240b = 2400

Pivot: Row 1 ↔ Row 2
180a+240b = 2400
a+b = 12

Row 2 - 1/180 · Row 1 → Row 2
180a+240b = 2400
-0.33b = -1.33


b = -1.33333333/-0.33333333 = 4
a = 2400-240b/180 = 2400-240 · 4/180 = 8

a = 8
b = 4

Our linear equations calculator calculates it.



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