A liquid mixture contain alcohol and water in the ratio of 4 : 3. If 5 liters of water is added to the mixture the ratio becomes 4:5.Find the quantities of alcohol in the given mixture ?

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Solution

The correct option is A
10

Let the quantity of alcohol and water be 4x and 3x liters.

Then,

$\frac{4 x}{3 x + 5} + 5 = \frac{4}{5}$

$\Rightarrow 20 x = 4 (3 x + 5)$

$\Rightarrow$ $8 x = 20$

$\Rightarrow x = 2.5$

$Q u a n t i t y o f a l c o h o l = (4 \times 2.5) = 10 l i t e r s .$

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A liquid mixture contain alcohol and water in the ratio of 4 : 3. If 5 liters of water is added to the mixture the ratio becomes 4:5.Find the quantities of alcohol in the given mixture ?

The correct option is A 10 Let the quantity of alcohol and water be 4x and 3x liters. Then, 4x3x+5+5=45 ⇒20x=4(3x+5) ⇒ 8x=20 ⇒x=2.5 Quantity of alcohol=(4×2.5)=10liters.

The correct option is A
10

Let the quantity of alcohol and water be 4x and 3x liters.

Then,

$\frac{4 x}{3 x + 5} + 5 = \frac{4}{5}$

$\Rightarrow 20 x = 4 (3 x + 5)$

$\Rightarrow$ $8 x = 20$

$\Rightarrow x = 2.5$

$Q u a n t i t y o f a l c o h o l = (4 \times 2.5) = 10 l i t e r s .$