Question

    A bag contains (x + 7) small toys, (x + 12) medium toys, and (x + 17) large toys. The probability of drawing a large toy from the bag is (4/9). Find the number of medium toys in the bag.

    A 20 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 34 Correct Answer Incorrect Answer
    D 22 Correct Answer Incorrect Answer

    Solution

    According to question, (x + 17)/[(x + 7) + (x + 12) + (x + 17)] = 4/9 Simplify and solve for x: 9(x+17) = 4(3x + 36) 9x +153 = 12x+ 144 12x -9x = 153-144 3x = 9 x= 3 Therefore, number of orange balls in the bag = 3 + 12 = 15

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