Two teas

The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed?

Correct answer:

a =  4 kg
b =  6 kg

Step-by-step explanation:

m=10  a+b=m 160a+170b=m 166 a+b=10 160a+170b=10 166  a+b=10 160 a+170 b=10 166  a+b=10 160a+170b=1660  Pivot:Row1Row2 160a+170b=1660 a+b=10  Row21601 Row1Row2 160a+170b=1660 0.06b=0.38  b=0.06250.375=6 a=1601660170b=1601660170 6=4=4 kg  a=4 b=6

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