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
