Question 62

In a bag the ratio of red balls to green balls is 4 : 9. If 6 more green balls were added to the bag,the ratio of red balls to green balls would become 1 : 3. How many red balls are there in the bag?

Solution

Acc to the question, red : green =4: 9

So, let the number of green balls be 9x, so red balls will be4x.

So, total balls will be 13x.

If 6 green balls are added then red : green = (4x) : (9x+6)

Also, it is said that ratio becomes1:3.

Therefore, (4x) : (9x+6) = 1:3

or, 12x = 9x + 6

or, 3x = 6

or, x = 2

That means, red balls = 8, green balls = 18

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