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

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Manager
Joined: 10 Mar 2014
Posts: 237

Kudos [?]: 122 [0], given: 13

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

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27 Jul 2015, 22:53
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Difficulty:

75% (hard)

Question Stats:

53% (01:47) correct 47% (01:17) wrong based on 168 sessions

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The following table gives some data collected about the population of a town by age:

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

[Reveal] Spoiler:
Attachment:

Karishma_Quant12.png [ 12 KiB | Viewed 3893 times ]
[Reveal] Spoiler: OA

Kudos [?]: 122 [0], given: 13

Intern
Joined: 14 May 2015
Posts: 4

Kudos [?]: 4 [2], given: 5

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

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28 Jul 2015, 00:16
2
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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)

Kudos [?]: 4 [2], given: 5

Manager
Joined: 14 Mar 2014
Posts: 148

Kudos [?]: 181 [2], given: 124

GMAT 1: 710 Q50 V34
Re: What is the ratio of the number of people whose age is 18 or greater b [#permalink]

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28 Jul 2015, 05:04
2
KUDOS
PathFinder007 wrote:
The following table gives some data collected about the population of a town by age:

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

[Reveal] Spoiler:
Attachment:
The attachment Karishma_Quant12.png is no longer available

IMO : A

consider the following fig:
Attachment:

1.jpg [ 10.57 KiB | Viewed 3380 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
_________________

I'm happy, if I make math for you slightly clearer
And yes, I like kudos
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Kudos [?]: 181 [2], given: 124

Intern
Joined: 13 Sep 2015
Posts: 19

Kudos [?]: 10 [0], given: 239

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

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23 Sep 2015, 07:13
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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

Kudos [?]: 10 [0], given: 239

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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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10 Dec 2017, 02:14
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Re: What is the ratio of the number of people whose age is 18 or greater b   [#permalink] 10 Dec 2017, 02:14
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