## 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?

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

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!!

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