At a contest with 3,500 participants, 1/2 of the people are aged 18 to 22. Next year, the number of people aged 18 to 22 will increase by 1/7. After this change, what percentage of the total 3,500 people will the 18- to 22-year-olds represent?
Options: A) 33% B) 40% C) 55% D) 57.14% E) 66.14%
I just wanted to mention a couple of things here:   * this is a pure ratio question; the number 3,500 is completely irrelevant, and you can ignore it if you like. When we increase something by 1/7, we are multiplying it by 1 + 1/7 = 8/7, so the answer here must be (1/2)*(8/7) = 4/7 = 57.14 %.   Answer : 57.14%
<result>D</result>
At a contest with 3,500 participants, 1/2 of the people are aged 18 to 22. Next year, the number of people aged 18 to 22 will increase by 1/7. After this change, what percentage of the total 3,500 people will the 18- to 22-year-olds represent?