Question

12. In a bag, there are balls of three colours - white,
black and green. The ratio of the number of
white and black balls is 3 : 4. The ratio of the
number of black and green balls is 3: 5. Which of
the following can be a possible value of the total
number of white and green balls in the bag?
(A) 42 (B). 32 C) 58 (D) 41​

Answer 1

Answer:

hope it helps you........

Answer 2

Answer:

C) 58

Step-by-step explanation:

Given:- Ratio of the number of white and black balls is 3 : 4.

             Ratio of the number of black and green balls is 3: 5.

To Find:- Total number of white and green balls in the bag.

Solution:-

Let' denote the number of white balls with w, black balls with b and green balls with g.

According to the question,

                    $\frac{w}{b} =\frac{3}{4}$  ---------- (1)   and     $\frac{b}{g} =\frac{3}{5}$  ------------ (2)

So, according to equation (1) $b = \frac{4w}{3}$   , and

according to equation (2)  $b = \frac{3g}{5}$.

∴ $\frac{4w}{3} = \frac{3g}{5}$

⇒ $w = \frac{9g}{20}$

⇒ $w +g = \frac{9g}{20} + g$

⇒ $w+g = \frac{29g}{20}$

As we know, number of balls can never be a whole number.

So, to make $\frac{29g}{20}$ , a integer, g can be 20, 40,....

Therefore, number of white balls and green balls will be 29, 58,....

The correct answer is C) 58.

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