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At a contest with 1,500 participants, 1/2 of the people

At a contest with 1,500 participants, 1/2 of the people are aged 8 to 12. Next year, the number of
people aged 8 to 12 will increase by 1/3. After this change, what percentage of the total 1,500 people will the 8 to 12 year olds represent?

A. 33%
B. 40%
C. 50%
D. 55%
E. 66.66%

Answer

Total Participants: 1500

This Year: Ages 8 to 12 - 750
Next Year: Ages 8 to 12 - 750 + 1/3 x 750 = 750 + 250 = 1000

Choice E: The new percentage is 1,000/1,500, or 2/3, which corresponds to 66 2/3%.

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