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Forty percent of the rats included in an experiment were male rats. If

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Forty percent of the rats included in an experiment were male rats. If  [#permalink]

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New post 24 Nov 2018, 09:00
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Forty percent of the rats included in an experiment were male rats. If some of the rats died during the experiment and 30 percent of the rats that died were male rats, what was the ratio of the death rate among the male rats to the death rate among the female rats?

(A) 9/14
(B) 3/4
(C) 9/11
(D) 6/7
(E) 7/8

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Re: Forty percent of the rats included in an experiment were male rats. If  [#permalink]

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New post 24 Nov 2018, 09:21
Let there be 100 rats. So, 40 are male, 60 are female. Let x be the number of rats that died.
Male rats that died = 0.3*x, female rats that died = 0.7*x

Death rate of male rats = 0.3*x/40
Death rate of female rats = 0.7*x/60

Ratio = Death rate of male rats/Death rate of female rats
= (0.3x/40)/(0.7x/60) = (3*6)/(4*7) = 9/14

Option A
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Re: Forty percent of the rats included in an experiment were male rats. If  [#permalink]

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New post 24 Nov 2018, 09:26
Y=total rats; X = dead rats
Death rate = dead rats in particular gender/ total rats of that gender
Male death rate =(30X/100)/(40Y/100)=3X/4Y
Female death rate =(70X/100)/(60Y/100)=7X/6Y
Male death rate/Female death rate = 3X*6Y/4Y*7X = 18/28 = 9/14
I could be wrong, though
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Re: Forty percent of the rats included in an experiment were male rats. If   [#permalink] 24 Nov 2018, 09:26
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Forty percent of the rats included in an experiment were male rats. If

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