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

Question

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

nkin · Accepted Answer

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

ScottTargetTestPrep · Answer

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

kern760 · Answer

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

BrentGMATPrepNow · Answer

One approach is to use the Double Matrix Method . This technique can be used for questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions). Here, we have a population of rats, and the two characteristics are: - male or female - live or die So, we can set up our matrix as follows https://i.imgur.com/4EO4bjt.png Aside: We can also use Venn diagrams and formulae to solve overlapping sets questions. However, as difficulty levels increase, it becomes harder to apply those other approaches, whereas the Double Matrix Method works every time. Since the question provides information with percentages , and since the question asks for a ratio (instead of asking for actual values), we can assign a nice value to the total population of rats in the experiment. Let's say there are 100 rats. Since we're told 40% of the rats are male, we know that there are 40 male rats, and the remaining 60 rats must be female. So, our diagram now looks like this: https://i.imgur.com/DAv5dIz.png Finally, we're told 30% of the rats that died were male rats. This means the remaining 70% of the dead rats must be female. Since we don't know the total number of rats that died, let's let x = the total number of rats that died So, 0.3x = the number of dead rats that are male, And 0.7x = the number of dead rats that are female. https://i.imgur.com/AuRJQzP.png What was the ratio of the death rate among the male rats to the death rate among the female rats? There are 40 male rats, and 0.3x of them died. So the death rate among the male rats = 0.3x/40 Similarly, there are 60 female rats, and 0.7x of them died. So the death rate among the female rats = 0.7x/60 So, the ratio of the death rate among the male rats to the death rate among the female rats = ( 0.3x/40 )/( 0.7x/60 ) = ( 0.3x/40 )( 60/0.7x ) = 18x/28x = 18/28 = 9/14 Answer: A This question type is very common on the GMAT, so be sure to master the technique. To learn more about the Double Matrix Method, watch this video: https://www.youtube.com/watch?v=jK-tiBrrf04 EXTRA PRACTICE QUESTION https://www.youtube.com/watch?v=DsbPUSH_Wu4 More questions to practice with: EASY: https://gmatclub.com/forum/of-the-120-p ... 15386.html MEDIUM: https://gmatclub.com/forum/in-a-certain ... 21716.html HARD: https://gmatclub.com/forum/a-group-of-2 ... 24888.html KILLER: https://gmatclub.com/forum/a-certain-hi ... 32899.html

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

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