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A recent census revealed the age distribution of the residents of Town

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Sajjad1994
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A recent census revealed the age distribution of the residents of Town [#permalink] New post   Updated on: 26 Oct 2023, 12:34
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Question # 237, Date : 26-May-2020
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A recent census revealed the age distribution of the residents of Town Y, shown in the graph. Since the census was performed, no resident has moved into or away from Town Y and there have been no recorded births or deaths.

Based on the given information, use the drop-down menus to most accurately complete the following statements.

1. The census indicates that times as many residents were children or teenagers as were seniors.

2. If, at the time of the census, there were 540 more people aged 0–39 than people aged 40 or greater, then the population of Town Y at the time of the census was .

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Dropdown 1: 2.65 Dropdown 2: 1500

Originally posted by Sajjad1994 on 17 May 2020, 19:29.
Last edited by Sajjad1994 on 26 Oct 2023, 12:34, edited 2 times in total.
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Re: A recent census revealed the age distribution of the residents of Town [#permalink] New post   17 May 2020, 23:24
1)B, Children=20%
Teens=25% and seniors=17%
So ratio is 25+20/17= 45/17=2.65

2)A,Total % of people from 0-39= 20+25+23= 68% of total population
And rest is 32% of total population,Now given difference is 540= (68-32)of total population

Total population = 540*100/36=1500

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Re: A recent census revealed the age distribution of the residents of Town [#permalink] New post   17 May 2020, 23:55
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1. The census indicates that______________times as many residents were children or teenagers as were seniors.

Let the total population of Town Y be x.

Senior citizens make : 17% of x.
Children or Teenagers make: 45% of x.

Now we are asked: 45% of x = k17% of x.

k = 2.647 => ~ 2.65

Answer B.

2. If, at the time of the census, there were 540 more people aged 0–39 than people aged 40 or greater, then the population of Town Y at the time of the census was______________.

Let the total population of Town Y at the time of the census was x.
People aged 0-39 make up: 68% of x.
people aged 40 or greater make up: 32% of x.

Now, Given: 68% of x = 32% of x + 540
=> (36/100)x = 540 => x = 54000/36 = 1500.

Answer A.
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Re: A recent census revealed the age distribution of the residents of Town [#permalink] New post   29 May 2020, 19:10
1. Children: 20% + teenagers 25%
Seniors= 17%
45/17= 2.65~

2. 540 people = difference of (23%+25%+20%= 68%)- 32% = 36%
36% is 540 people then total = 540/36%= 1500
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Re: A recent census revealed the age distribution of the residents of Town [#permalink] New post   09 Sep 2021, 08:29
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1. The census indicates that______________times as many residents were children or teenagers as were seniors.

According to the graph, 45% of the residents were children or teenagers and 17% were seniors. Therefore there were 45/17≈2.65 times as many residents who were children or teenagers than were seniors.

The correct answer is 2.65.

2. If, at the time of the census, there were 540 more people aged 0–39 than people aged 40 or greater, then the population of Town Y at the time of the census was______________.

According to the graph, at the time of the census, 68% of residents were aged 0–39 and 32% were aged 40 or greater. If P represents the total population of Town Y, then \(540 = (0.68)P − (0.32)P.\) Therefore, 540 = 0.36P, so P\(=\frac{540}{0.36}=1,500.\)

The correct answer is 1,500.
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Re: A recent census revealed the age distribution of the residents of Town [#permalink] New post   31 Mar 2024, 05:58
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Re: A recent census revealed the age distribution of the residents of Town [#permalink]
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