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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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20 Mar 2016, 23:29
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85% (01:20) correct 15% (01:21) wrong based on 66 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%

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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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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%

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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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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$$\frac{2}{3}$$%

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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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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%.

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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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01 Dec 2019, 07:27
Top Contributor
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%

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%

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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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10 Dec 2019, 13:43
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.

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Re: At a summer camp with 1,500 participants, 1/2 of the campers are aged   [#permalink] 10 Dec 2019, 13:43
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