SOLUTION: The percentage of all natural numbers that are divisible by 2, 3, or 5 is closest to: (A) 70% (B) 71% (C) 72% (D) 73% (E) 74%

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The percentage of all natural numbers that are divisible by 2, 3, or 5 is closest to: (A) 70% (B) 71% (C) 72% (D) 73% (E) 74%      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 280054: The percentage of all natural numbers that are divisible by 2, 3, or 5 is closest to:
(A) 70% (B) 71% (C) 72% (D) 73% (E) 74%

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
The percentage of all natural numbers that are divisible by 2, 3, or 5 is closest to:
(A) 70% (B) 71% (C) 72% (D) 73% (E) 74%
Natural Numbers are counting numbers 1,2,3,4,5,...,infinity.
every other number is divisible by 2, so numbers that are divisible by 2 is 50%,
that leaves 50%
every 3rd number is divisible by 3
1/3 * 50% = 16 2/3 % , total so far 66 2/3 % , leaving 33 1/3 % left
every 5th number is divisible by 5
1/5 * 33 1/3 % = 6 2/3 %, total so far 73 1/3 % , leaving 26 2/3 % left
so by the way I figure it, and if anyone finds I am mistaken please let me know, the
answer is D. 73%