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At a summer camp with 1,500 participants, 1/2 of the campers

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by Vincen » Sat Nov 30, 2019 7:53 am
At a summer camp with 1,500 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 campers will the 8- to 12-year-olds represent?

A. 33 1/3%
B. 50%
C. 55%
D. 60%
E. 66 2/3%

[spoiler]OA=E[/spoiler]

Source: Manhattan GMAT
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by deloitte247 » Sun Dec 01, 2019 5:07 am
Total participant = 1,500
Campers aged 8-12 = 1/2 of 1,500 = 750
The following year, campers aged 8-12 increased by 1/3.
Therefore, the following year is = (750) + (1/3 of 750) = 720 + 250 = 1000
After this change, what percentage of the total 1,500 campers will the 8-12 years old represents?
$$Therefore,\ \frac{1000}{1500}\cdot100=66\frac{2}{3}$$

Answer = option E
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by Brent@GMATPrepNow » Sun Dec 01, 2019 6:09 am
Vincen wrote:At a summer camp with 1,500 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 campers will the 8- to 12-year-olds represent?

A. 33 1/3%
B. 50%
C. 55%
D. 60%
E. 66 2/3%

[spoiler]OA=E[/spoiler]

Source: Manhattan GMAT
1/2 of 1500 = 750
So, there are PRESENTLY 750 campers ages 8 to 12

We're told this value increases by 1/3
1/3 of 750 = 250

So, NEW population of campers aged 8 to 12 = 750 + 250 = 1000

So, 1000 of the 1500 campers are aged 8 to 12
1000/1500 = 2/3 = 66 2/3%

Answer: E

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by Scott@TargetTestPrep » Mon Dec 09, 2019 5:36 pm
Vincen wrote:At a summer camp with 1,500 participants, 1/2 of the campers are aged 8 to 12. Next year, the number of campers aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 campers will the 8- to 12-year-olds represent?

A. 33 1/3%
B. 50%
C. 55%
D. 60%
E. 66 2/3%

[spoiler]OA=E[/spoiler]

Source: Manhattan GMAT
We are given that 1500 x 1/2 = 750 campers are ages 8 to 12.

Next year, that number will increase to:

(4/3) x 750 = 1,000 campers

Thus, the percentage of campers who are 8 to 12 years old will be 1000/1500 x 100% = 2/3 x 100% = 66 2/3%.

Answer: E

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by [email protected] » Tue Dec 10, 2019 11:57 am
Hi All,

We're told that at a summer camp with 1,500 participants, 1/2 of the campers are aged 8 to 12 - and that next year, the number of campers aged 8 to 12 will increase by 1/3 AND that the total number of will STILL be 1500. We're asked - after this change, what percentage of the total 1,500 campers will the 8- to 12-year-olds represent. This question gives us all of the numbers needed to perform a couple of calculations, so that's what we'll do.

1/2 of 1500 = 750....so there are 750 campers aged 8 to 12 right now.

Next year, there will be (1/3)(750) = 250 MORE campers aged 8 to 12... so the total will increase to 1,000

There will be 1500 campers next year, so 1,000/1,500 = 2/3 of the campers will be aged 8 to 12.

Final Answer: E

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Rich
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