Question

A bag contains 24 balls out of which x are white . If one ball is drawn at random the
probability of drawing a white ball is y . 12 more white balls are added to the bag . Now if
a ball is drawn from the bag the probability of drawing the white ball is
5/3
. Find the value
of x

Answer 1

Answer:

x=8

Step-by-step explanation:

Total number of balls = 24 (Given)

Let the number of white balls be = x

Probability of drawing a white ball = y.

Probability of drawing a white ball -

Number of white balls / Total number of balls

y = x/24

Now, since 12 more white balls are added to the bag, thus -

Probability of drawing a white ball = Number of white balls /Total number of balls

5y/3 = x + 12/ 24+12

5y/3 = x+12/36

5y = x+12/12

5×x/24 = x+12/12

5x = 2x+24

3x=24

x=8

Thus, the value of x is 8.