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

Question

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%

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

GMATinsight · Answer

Total - 1,500 participants

campers are aged 8 to 12 = (1/2)*1500 = 750

Next year, campers are aged 8 to 12 = (4/3)*750 = 1000

Percentage = (1000/1500)*100 = 66 2/3%

Answer: Option E

sashiim20 · Answer

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?

Total participants at summer camp = 1500
Campers aged 8 to 12 = \(\frac{1}{2}\) of 1500 = \(\frac{1}{2}\) x 1500 = 750
Next year campers aged 8 to 12 will increase by \(\frac{1}{3}\) = \(\frac{1}{3}\) of 750 = \(\frac{1}{3}\) x 750 = 250 .
Total campers aged 8 to 12 next year = 750 + 250 = 1000
Percentage of campers aged 8 to 12 to total 1500 = \(\frac{1000}{1500}\) x 100 = 66\(\frac{2}{3}\)%
Answer E ...

_________________
Kindly press "+1 Kudos" to appreciate

ScottTargetTestPrep · Answer

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

BrentGMATPrepNow · Answer

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

Cheers,
Brent

EMPOWERgmatRichC · Answer

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

GMAT assassins aren't born, they're made, 
Rich

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards