A box contains balls of black, blue and green colours. If the ratio of black and blue balls is 5 : 6 and the green balls are 10 more than the black balls, find the number of blue balls if total number of balls are 42.

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Solution

The correct option is C
12

Given : The ratio of black and blue balls is 5 : 6

Let the number of black balls = 5x and the number of blue balls = 6x

Number of green balls = 5x + 10

According to the question - 5x + 6x + 5x + 10 = 42

$\Rightarrow$ 16x = 42 - 10 = 32

$\Rightarrow$ x = $\frac{32}{16}$ = 2

$∴$ The number of blue balls = 6x = 6 $\times$ 2 = 12

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