Two wine

In the ratio of 2:1, mixed wine solution cost 4.1 USD.
In the ratio of 1:2, mixed wine solution costs 4.5 USD.

How much does a liter of each wine cost?

Correct answer:

x =  3.7 USD/l
y =  4.9 USD/l

Step-by-step explanation:

x=2⋅ 4.1−4.5=3.7 USD/l

2x+y=3·4.1; x+2y=3·4.5

2·x+y=3·4.1
x+2·y=3·4.5

2x+y = 12.3
x+2y = 13.5

Row 2 - 1/2 · Row 1 → Row 2
2x+y = 12.3
1.5y = 7.35


y = 7.35/1.5 = 4.9
x = 12.3-y/2 = 12.3-4.9/2 = 3.7

x = 37/10 = 3.7
y = 49/10 = 4.9

Our linear equations calculator calculates it.
y=2⋅ 4.5−4.1=4.9 USD/l

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