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In a bag,There are red and blue cubes in the ratio 4:7.I add 10 more red cubes to the bag.Now here are red and blue cubes in the ratio 6:7.How many blue cubes are in the bag?

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Given:

The ratio of red and blue cubes is 4:7.

After adding 10 more red cubes the ratio of red and blue cubes is 6:7.

To find:

The number of blue cubes.

Solution:

The ratio of red and blue cubes is 4:7.

Let the number of red and blue cubes be 4x and 7x respectively.

After adding 10 more red cubes.

Number of red cubes = 4x+10

Then, the ratio of red and blue cubes is 6:7.


(4x+10)/(7x)=(6)/(7)


7(4x+10)=6(7x)


28x+70=42x


70=42x-28x


70=14x

Divide both sides by 14.


5=x

Now,

Number of blue cubes in the bag is


7(5)=35

Therefore, the number of blue cubes is 35.

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