A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5 more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

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05-04-2022
Mathematics

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A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5 more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

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vivdax54 vivdax54 · Answer 1 · 2022-04-05T23:35:14-04:00

vivdax54 vivdax54

05-04-2022

Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is [tex]\frac{x}{15}[/tex]. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

[tex]\frac{x+5}{15+5} = \frac{3}{4}[/tex]

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

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