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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2507
Given Kudos: 1051
GPA: 3.39
Between 1990 and 2000, the number of Americans aged 45 to 64 was proje
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11 Apr 2022, 03:30
11 Apr 2022, 03:30
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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
A) 5 to 1
B) 6 to 1
C) 8 to 1
D) 10 to 1
E) 14 to 1
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2507
Given Kudos: 1051
GPA: 3.39
Re: Between 1990 and 2000, the number of Americans aged 45 to 64 was proje
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14 Apr 2022, 02:20
14 Apr 2022, 02:20
1
Expert Reply
Americans 45-64: Increase 47M to 61M
Americans 18-24: Decrease 26M to 25M
Percent change = \(\frac{New-Old}{Old}\)
So we have \(\frac{61-47}{47}\) and \(\frac{25-26}{25}\)
Our ratio becomes \(\frac{14}{47}\):\(\frac{1}{25}\) which leads us to a factor of 14 in the numerator and almost a factor of 2 in the denominator: Since the answer choices were 5, 6, 8, 10, and 14 we know that it must be either 6 or 8 (around 7) and since the denominator isn't quite a factor of 2 different then we would be closer to 8
Answer: C
Americans 18-24: Decrease 26M to 25M
Percent change = \(\frac{New-Old}{Old}\)
So we have \(\frac{61-47}{47}\) and \(\frac{25-26}{25}\)
Our ratio becomes \(\frac{14}{47}\):\(\frac{1}{25}\) which leads us to a factor of 14 in the numerator and almost a factor of 2 in the denominator: Since the answer choices were 5, 6, 8, 10, and 14 we know that it must be either 6 or 8 (around 7) and since the denominator isn't quite a factor of 2 different then we would be closer to 8
Answer: C
Re: Between 1990 and 2000, the number of Americans aged 45 to 64 was proje
[#permalink]
30 Sep 2022, 03:28
30 Sep 2022, 03:28
1
GeminiHeat wrote:
Americans 45-64: Increase 47M to 61M
Americans 18-24: Decrease 26M to 25M
Percent change = \(\frac{New-Old}{Old}\)
So we have \(\frac{61-47}{47}\) and \(\frac{25-26}{25}\)
Our ratio becomes \(\frac{14}{47}\):\(\frac{1}{25}\) which leads us to a factor of 14 in the numerator and almost a factor of 2 in the denominator: Since the answer choices were 5, 6, 8, 10, and 14 we know that it must be either 6 or 8 (around 7) and since the denominator isn't quite a factor of 2 different then we would be closer to 8
Answer: C
Americans 18-24: Decrease 26M to 25M
Percent change = \(\frac{New-Old}{Old}\)
So we have \(\frac{61-47}{47}\) and \(\frac{25-26}{25}\)
Our ratio becomes \(\frac{14}{47}\):\(\frac{1}{25}\) which leads us to a factor of 14 in the numerator and almost a factor of 2 in the denominator: Since the answer choices were 5, 6, 8, 10, and 14 we know that it must be either 6 or 8 (around 7) and since the denominator isn't quite a factor of 2 different then we would be closer to 8
Answer: C
This is wrong according to my opinion. The percentage decrease should be (25 - 26)/26 rather than (26-25)/25
