Tea blend

Tea blends are maked from two kinds of tea. In standard tea mixture are two teas in the ratio 1:3 and 40 g costs 42 CZK. In the premium tea mixture are weighing two teas in the ratio 1:1 and 50 grams costs 60 CZK. How much cost 10 grams of more expensive kind of tea?

Correct result:

x =  15 Kč

Solution:

(40/10)(1x+3y)/(1+3)=42
(50/10)(x+y)/(1+1) = 60

(40/10)•(1•x+3•y)/(1+3)=42
(50/10)•(x+y)/(1+1) = 60

10x+30y = 420
25x+25y = 600

x = 15
y = 9

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