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What is the ratio of the number of people whose age is 18 or greater b

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What is the ratio of the number of people whose age is 18 or greater b  [#permalink]

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New post 27 Jul 2015, 23:53
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A
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E

Difficulty:

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Question Stats:

63% (02:44) correct 38% (02:33) wrong based on 250 sessions

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The following table gives some data collected about the population of a town by age:
Image
What is the ratio of the number of people whose age is 18 or greater but less than 25 to the number of people whose age is 25 or greater but less than 40?

A. 6:7
B. 23:17
C. 17:23
D. 18:19
E. Cannot be determined

Attachment:
Karishma_Quant12.png
Karishma_Quant12.png [ 12 KiB | Viewed 6512 times ]
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Re: What is the ratio of the number of people whose age is 18 or greater b  [#permalink]

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New post 28 Jul 2015, 01:16
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Question: # of people, where: (18yrs + < age < 25 yrs old) / (25 yrs + < age < 40 yrs old)

First thing you need to find is the total population:
(Less than 18yrs) + (18yrs or older) = 420 + 690= 1,110

Secondly, how many people are between 18 and 25:
(25 yrs or more) - (18 yrs or more) = 690 - 510 = 180

Then, how many people are between 25 and 40:
(Less than 40) - (18 or less) - (18 to 25) = 810 - 420 - 180 = 210

Final Answer: 180/210 --> 18/21 --> 6/7 (A)
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Re: What is the ratio of the number of people whose age is 18 or greater b  [#permalink]

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New post 28 Jul 2015, 06:04
3
PathFinder007 wrote:
The following table gives some data collected about the population of a town by age:
Image
What is the ratio of the number of people whose age is 18 or greater but less than 25 to the number of people whose age is 25 or greater but less than 40?

A. 6:7
B. 23:17
C. 17:23
D. 18:19
E. Cannot be determined

Attachment:
The attachment Karishma_Quant12.png is no longer available


IMO : A

consider the following fig:
Attachment:
1.jpg
1.jpg [ 10.57 KiB | Viewed 5751 times ]


Let "a" be no. of ppl whose age is <18, "b" be between 18-25(including 18), "c" be between 25-40(including 25), "d" be >40(including 40)

\(\frac{b}{c}\) =?

From the question stem
a=420 --(i)
b+c+d=690--(ii)
c+d=510--(iii)
a+b+c=810--(iv)

Sub (iii) in (ii) --> b = 180
sub a=420 and b=180 in (iv) we get c =210
therefore
b:c = 180:210
=6:7
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What is the ratio of the number of people whose age is 18 or greater b  [#permalink]

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New post 23 Sep 2015, 08:13
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1
Okay this is how I did it.
We have to find the ratio of number of people whose age is 18 or greater but less than 25, and number of people whose age is 25 or greater but less than 40.

Step 1
No. of people more than 18 but less than 25 (18<x<25)=

No of people 25 years and more - No. of people whose age is 18 years or greater

690 - 510 = 180

Step 2

No. of people whose age is 25 or more but less than 40:

No. of People less than 40 years old - No. of people less than 18 - number of people whose age is 18 or more but below 25 (calculated above)

810 - 420 - 180 = 210

Step 3

Ratio = 180:210 which is 6:7

Answer: A
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Re: What is the ratio of the number of people whose age is 18 or greater b  [#permalink]

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New post 02 Oct 2018, 11:49
VERITAS Prep Solution:

Solution: The easiest way to solve this question may be to visually present the given information using a number line:

Attachment:
Screen Shot 2018-10-03 at 12.17.58 AM.png
Screen Shot 2018-10-03 at 12.17.58 AM.png [ 38.82 KiB | Viewed 1473 times ]


Since we know number of people who are less than 18 yrs old (420), and also those who are 18 yrs and more (690), we know the total population would be the sum of the two groups, i.e., 420 + 690 = 1110.

Using this, we can determine the number of people who are less than 25 yrs is 1110 – 510 = 600. So to find number of people who are between the ages of 18 and 25, we simply subtract the number of people below age 18. 600 – 420 = 180.

The number of people of age 40 yrs or more is 1110 – 810 = 300. We subtract this from the number of people age 25 years or more to find the group older than 25 and younger than 40, i.e., 510 – 300 = 210. The ratio between these two groups is 180:210, or 6:7. 
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Re: What is the ratio of the number of people whose age is 18 or greater b   [#permalink] 02 Oct 2018, 11:49
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