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In a jar there are balls in different colors: blue, red, green and yel [#permalink]
07 Oct 2009, 17:48
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In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/8. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
Re: In a jar there are balls in different colors: blue, red, green and yel [#permalink]
07 Oct 2009, 18:30
The answer is A: 23.
First step: determine how many balls are in the jar. Essentially, since the number of balls can't be a decimal number, it must be a multiple of 5, 8 and 10. The LCM of those three numbers is 40.
The probability of drawing a blue ball is 1/8. -> 5 blue balls The probability of drawing a red ball is 1/5. -> 8 red balls The probability of drawing a green ball is 1/10. -> 4 green balls
Re: In a jar there are balls in different colors: blue, red, green and yel [#permalink]
07 Oct 2009, 18:33
mohana wrote:
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/8. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
a) 23. b) 20. c) 24. d) 17. e) 25.
The probability of drawing a blue ball is 1/8 = 5/40 The probability of drawing a red ball is 1/5 = 8/40 The probability of drawing a green ball is 1/10 = 4/40 Yellow balls = 40-(5+8+4) = 23
Re: In a jar there are balls in different colors: blue, red, green and yel [#permalink]
08 Oct 2009, 02:36
LCM of (8,5,10) < 50 ....i.e. 40 balls
The probability of drawing a blue ball is Pb = 1/8 : B/40 thus B = 5 The probability of drawing a red ball is Pr = 1/5 : R/40 thus R = 8 The probability of drawing a green ball is Pg = 1/10 : G/40 thus G = 4
Thus Yellow balls = 40-(5+8+4) = 23....OA A _________________
Bhushan S. If you like my post....Consider it for Kudos
Re: In a jar there are balls in different colors: blue, red, green and yel [#permalink]
03 May 2011, 08:50
total number of balls will have factors 8,5 and 10.Hence the number will be multiple of 40. total balls = 40 yellow ball = 40- (5+8+4) = 23 _________________
Re: In a jar there are balls in different colors: blue, red, green and yel [#permalink]
12 Sep 2014, 12:21
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Re: In a jar there are balls in different colors: blue, red, green and yel [#permalink]
19 Sep 2014, 22:14
mohana wrote:
In a jar there are balls in different colors: blue, red, green and yellow. The probability of drawing a blue ball is 1/8. The probability of drawing a red ball is 1/5. The probability of drawing a green ball is 1/10. If a jar cannot contain more than 50 balls, how many yellow balls are in the Jar?
A. 23 B. 20 C. 24 D. 17 E. 25
# Blue Balls = Total Balls / 8, similarly #Red Balls = TB/5; #Green Balls = TB/10
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