Multiple choice

If you add 1/4 to a number and multiply the result by (4/8 - 8/16 + 1/2 + 1/3), you get 1/10. What is the number?

  1. 13/100

    • 13/100
    • 100/13
  2. 100/13

    • 131/100
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the number be X. (X + ¼ ) (4/8 - 8/16 + ½ + 1/3) = 1/10  (X + ¼ ) (1/2 - 1/2 + ½ + 1/3) = 1/10 (X + ¼ ) ( ½ + 1/3) = 1/10 (X + ¼ ) (5/6) = 1/10 X + ¼ = 6/50 X = 6/50 - ¼ X = (12 - 25)/100 X = - 13/100