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A 24 litre mixture contains water : milk in the ratio of 3 : 5.How much water must be added to this mixture to reverse this ratio?

Answer:

Explanation:

Initialy, water $=\frac{3}{8}\times 24=9 litres$

Milk $=24-9=15 litres$

Now let x litres of water be added to make the ratio 5 : 3

$\frac{9+x}{15}=\frac{5}{3}$

x=16 litres

To a 50 litre mixture containing water and milk in the ratio 2 : 3.30 litre of milk is added.What is the ratio of milk : water in the resultant solution?

Answer:

Explanation:

Initialy, milk $=\frac{3}{5}\times 50=30$ 

Water $=50-30=20$

If 30 litres milk is added then new ratio $=\frac{30+30}{20}=3 : 1$

Zinc and copper are in the ratio of 5 : 3 in 200 gm of an alloy.How much grams of copper be added to make the ratio as 3 : 5?

Answer:

Explanation:

Weight of zinc $=\frac{5}{8}\times 200=125 gm$

Weight of copper=200-125=75 gm

Let the weight of copper be x gram in the new ratio 3 : 5

$\frac{125}{x}=\frac{3}{5}$ $x=\frac{625}{3} gram$

Copper to added $=\frac{625}{3}-75=133\frac{1}{3} gm$

Two litres of a mixture of spirit and water contains 12% water.This is added to 3 litres of another mixture of spirit and water containing 5% of water.Find the percentage ofwater in the resulting mixture.

Answer:

Explanation:

Water present in first mixture  $=\frac{2\times12}{100}=\frac{6}{25}$litres

Water present in second mixture $\frac{3\times5}{100}=\frac{3}{20}$

Total water present in 5 litres of the resulting mixture$=\frac{6}{25}+\frac{3}{20}=\frac{39}{100}$

Pertange of water present in the resulting mixture $=\frac{\frac{39}{100}\times 100}{5}=7\frac{4}{5}%$

A painter mixes blue paint with white paint so that the mixture contains 10% blue paint.In a mixture of 40 litres paint, how many litres of blue paintshould be added, so that the mixture contains 20% of blue paint?

Answer:

Explanation:

Quantity of blue paint in the mixture=10% of 40

Quality of white=40-4=36 litres

Let x litres blue paint can be mixed

Then,$\frac{4+3}{36}=\frac{20}{80}$ $x=5 litres$

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