## 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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Math
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2021-09-11T07:33:28+00:00
2021-09-11T07:33:28+00:00 2 Answers
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## Answers ( )

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!!

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