Question

A mixture contains milk and water in the ratio 4 : 3. On adding 6 liters of water the ratio becomes 8 : 7. Find the total quantity of the final mixture.

Answer 1

Total quantity of the final mixture is 90 liters

Step-by-step explanation:

A mixture contains milk and water in the ratio 4 : 3

Amount of milk  = 4x

Amount of water = 3x

On adding 6 liters of water the ratio becomes 8 : 7

After adding water:-

• Amount of milk, m = 4x

• Amount of water, w = 3x+6

The ratio becomes 8 : 7

$\dfrac{4x}{3x+6}=\dfrac{8}{7}$

$28x=24x+48$

$4x=48$

$x=12$

Amount of water = 3x+6 = 3*12 + 6 = 42

Amount of milk = 4x = 4*12 = 48

Total quantity of the final mixture is 90 liters

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