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24 Nov 2018, 09:00
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A
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Difficulty:
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76% (02:36) correct
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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
(A) 9/14
(B) 3/4
(C) 9/11
(D) 6/7
(E) 7/8
24 Nov 2018, 09:21
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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
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
05 Oct 2020, 07:41
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Solution:
We can let the total number of rats in the experiment be 100. Thus, 40 are male rats and 60 are female rats. We can also let the total number of rats that died be 50. Thus, 50 x 0.3 = 15 male rats died, and 50 - 15 = 35 female rats died. We see that the death rate of the male rats is 15/40 = 3/8 and that of the female rats is 35/60 = 7/12. Therefore, the ratio is (3/8) / (7/12) = 3/8 x 12/7 = 3/2 x 3/7 = 9/14.
Answer: A
