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

Question

https://gmatclub.com/forum/download/file.php?mode=view&id=54573 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. The census indicates that GRAPH_1_PLACEHOLDER times as many residents were children or teenagers as were seniors. 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 GRAPH_2_PLACEHOLDER . ID: 100407 2.jpg

Apt0810 · Answer

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

Posted from my mobile device

bM22 · Answer

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 =  k 17% 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.

mSKR · Answer

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

Sajjad1994 · Answer

Official Explanation

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.

UmerShariff · Answer

Since its mentioned as The census indicates that times as many residents were children "or" teenagers as were seniors.
Here I notice its mentioned as OR then why do we add both teeanger and child percentage

DmitryFarberMPrep · Answer

UmerShariff

In this case, "or" means we definitely should add. After all, one person isn't both a child under 12 AND a teen. The idea is that the group of people who are EITHER children OR teens is 2.65 times the size of the senior group.

hattie · Answer

I encountered a new question while doing practice problems today.

The question is:  From the names in the census, one name is randomly chosen to receive prize A and one name (possibly the same) is randomly chosen to receive prize B. The probability that no child's name was chosen is  (Select one) .

The options are:   0.04, 0.16, 0.64, 0.84, 0.96.

I’m not sure how to approach this problem. Can someone help me? Thank you!"

Let me know if you'd like help with solving it!

Bunuel · Answer

Could you please provide a screenshot of the question? Thank you!

hattie · Answer

Hello, this is from a mock exam software. I have attached a screenshot in the attachment.

bb · Answer

There is an interesting GMAT770 watermark in the image 👀

stephaniechichi · Answer

for the second question, no child's name be selected with the prob of 0.8 which is 1-0.2. thus we just get 0.64 from 0.8*0.8=0.64

bumpbot · Answer

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

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