A claw arcade machine contains stuffed animals and mystery boxes. There are 84 items in the machine. Winning a stuffed animal has twice as m

Question

A claw arcade machine contains stuffed animals and mystery boxes. There are 84 items in the machine. Winning a stuffed animal has twice as many favorable outcomes as winning a mystery box. How many of each item is in the machine?

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Genesis 1 month 2021-09-11T07:33:28+00:00 2 Answers 0

Answers ( )

    0
    2021-09-11T07:35:18+00:00

    Answer:

    56 28

    Step-by-step explanation:

    you would do 84 divided by 2 then you would give 20 from the mystery box to the stuffed animal hope this helps!!

    0
    2021-09-11T07:35:24+00:00

    Answer:

    There are 56 stuffed animals and 28 mystery boxes in the claw arcade machine

    Step-by-step explanation:

    Firstly, we assign variables.

    Let the number of stuffed animals be x and the number of mystery boxes be y

    The probability of selecting a stuffed animal is x/84 while the probability is selecting a mystery box is y/84

    Now, since the total probability can be 1:

    This means that

    x/84 + y/84 = 1 •••••••(i)

    Now from the question, we were told that the probability of selecting or winning a stuffed animal is twice that of winning a mystery box

    Thus x/84 = 2 * y/84

    X/84 = y/42

    Let’s substitute this into equation 1

    y/42 + y/84 = 1

    (2y+ y)/84 = 1

    3y/84 = 1

    3y = 84

    y = 84/3

    y = 28

    Since x + y = 84

    x = 84 – y

    x = 84-28 = 56

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