Question

4 units of x% alcohol are mixed with 1 unit of (100-x)% alcohol to give 60% alcohol. Find x.33.3366.666040​

Answer 1

The value of 'x' is 66.67.

Given:-

Percentage of Alcohol (p1) = x%

Percentage of Alcohol (p2) = (100-x)%

Final Percentage of Alcohol (p) = 60%

Units of Alcohol (a1) = 4

Units of Alcohol (a2) = 1

To Find:-

The value of 'x'.

Solution:-

We can simply calculate the value of 'x' by using these simple steps.

As

Percentage of Alcohol (p1) = x%

Percentage of Alcohol (p2) = (100-x)%

Final Percentage of Alcohol (p) = 60%

Units of Alcohol (a1) = 4

Units of Alcohol (a2) = 1

According to the equation,

$\frac{4x + (100 - x)}{5} = 60$

On solving this equation for the value of x, we get

$\frac{4x - x + 100}{5} = 60$

$3x + 100 = 60 \times 5$

$3x + 100 = 300$

$3x = 300 - 100$

$3x = 200$

$x = \frac{200}{3}$

$x = 66.67$

Hence, The value of 'x' is 66.67.

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