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    Question

    A container holds (x + 10) marble stones, (x + 12)

    quartz stones, and (x + 20) granite stones. The probability of drawing a granite stone is (5/12). Find the number of quartz stones in the container.
    A 40 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 34 Correct Answer Incorrect Answer
    D 22 Correct Answer Incorrect Answer

    Solution

    According to question, (x + 20)/[(x + 10) + (x + 12) + (x + 20)] = 5/12 Simplify and solve for x: 12(x+20) = 5(3x + 42) 12x +240 = 15x+ 210 15x -12x = 240-210 3x = 30 x= 10 Therefore, number of orange balls in the bag = 10 + 12 = 22

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