3. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball
is double that of a red ball, determine the number of blue balls in the bag.
Answers
Answered by
5
Answer:
I think it is 10 but I am not sure
Step-by-step explanation:
I hope it is helpful and when it is
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Answered by
3
Let number of blue balls be x.
Total number of balls in bag = 5+x
2(Probability of red ball) = probability of blue ball
2( 5/5+x) = x/5+x
10/5+x = x/5+x
10(5+x) = 5+x(x)
50+10x = x² + 5x
x² - 5x - 50 = 0
x²-10x+5x-50 = 0 (splitting the middle term)
x(x-10) + 5(x-10) = 0
(x+5)(x-10) = 0
x = -5 or 10
x= 10 (number of balls can't be negative)
Answer: Number of blue balls: 10
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