Multiple choice

A bag contains some green white and pink beads The probability of taking out one green bead is 1/3 and that of picking up one pink bead is 1/4 If it is known that the box has 10 white beads how many beads were in the box initially?

  1. 24

  2. 25

  3. 28

  4. 32
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let total beads be T. Green = T/3, Pink = T/4. White = 10. T/3 + T/4 + 10 = T. 7T/12 + 10 = T. 10 = 5T/12. T = 24.

AI explanation

Let the total number of beads be x. The probability of drawing either a green or pink bead is 1/3 plus 1/4, which equals 7/12. This implies the probability of drawing a white bead is 1 minus 7/12, resulting in 5/12. Since the 10 white beads represent 5/12 of the total, solving the equation 5/12 times x equals 10 gives x equals 24.

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