Question

A bag contains 14 balls of which x are white. If 6 more white balls are added to the bag, the probability of drawing a white ball is 1/2. Find the value of x.

a) 2
b) 3
c) 4
d) 5

Answer 1

To find the value of x, we can set up an equation using the given information. By solving the equation, we find that x is equal to 4.

Step-by-step explanation:

To solve this problem, we can set up an equation based on the information given. We know that there are 14 balls in the bag, and x of them are white. After adding 6 more white balls, the total number of white balls becomes x+6. The probability of drawing a white ball is 1/2.

The total number of balls in the bag after adding the 6 white balls is 14+6=20. The probability of drawing a white ball is (x+6)/20.

Setting up the equation and solving for x:

1. (x+6)/20 = 1/2
2. 2(x+6) = 20
3. 2x + 12 = 20
4. 2x = 8
5. x = 4

Therefore, the value of x is 4.