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

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

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New post 20 Mar 2016, 23:29
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85% (00:54) correct 15% (01:25) wrong based on 49 sessions

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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

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Re: At a summer camp with 1,500 participants, 1/2 of the campers are aged [#permalink]

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New post 21 Mar 2016, 05:11
Bunuel 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%


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
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Re: At a summer camp with 1,500 participants, 1/2 of the campers are aged [#permalink]

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New post 17 May 2017, 04:33
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 ...

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Re: At a summer camp with 1,500 participants, 1/2 of the campers are aged [#permalink]

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New post 19 May 2017, 06:29
Bunuel 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%


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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Re: At a summer camp with 1,500 participants, 1/2 of the campers are aged   [#permalink] 19 May 2017, 06:29
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