Between 1990 and 2000, the number of Americans aged 45 to 64

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Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

28 Jan 2013, 13:31

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Between 1990 and 2000, the number of Americans aged 45 to 64 was projected to increase from 47 million to 61 million, while the number of Americans aged 18 to 24 was projected to decrease from 26 million to 25 million. According to this projection, which of the following is closest to the ratio of the percent increase in the 45-to-64 age group to the percent decrease in the 18-to-24 age group?

A) 5 to 1
B) 6 to 1
C) 8 to 1
D) 10 to 1
E) 14 to 1

This question is from GMAT Focus.

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Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

29 Jan 2013, 00:48

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deoljasms wrote:

My answer is C.

Given:
1990 - 2000 (one year)
Age 45 to 64 = 47 to 61
Age 18 to 24 = 26 to 25

Find: % increase in 45 to 65 / % decrease in 18 to 24

General formula: % increase or % decrease = (new number - old number ) / old number

That being said, we have:

% increase in 45 to 65 = (65 - 45) / 45 = 14 / 47

% decrease in 18 to 25 = (25 - 26) / 26 = - 1 / 26 or 1 / 26 (we can remove the negative sign because we are talking about changes here)

Now we use the two values:

= (14 / 47) / (1 / 26)

= (14 / 47) * ( 26)

= 364 / 47

~ 7.7...

7.7 is closest to 8, which is answer choice (C)

There you have it.

Kudos please?

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Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink] 29 Jan 2013, 00:48

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Between 1990 and 2000, the number of Americans aged 45 to 64

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Between 1990 and 2000, the number of Americans aged 45 to 64

Between 1990 and 2000, the number of Americans aged 45 to 64

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