Question

Pls help due soon :)

A claw arcade machine contains stuffed animals and mystery boxes. There are 90 items in the machine. Winning a stuffed animal has four times as many favorable outcomes as winning a mystery box. How many of each item is in the machine?

Answer 1

Explanation:

Let's assume that there are x mystery boxes in the machine. Since there are a total of 90 items, the number of stuffed animals in the machine is 90 - x.

We are given that winning a stuffed animal has four times as many favorable outcomes as winning a mystery box. This means that the probability of winning a stuffed animal is 4 times the probability of winning a mystery box.

We can express this as an equation:

(number of favorable outcomes for stuffed animal) / (total number of outcomes) = 4 * (number of favorable outcomes for mystery box) / (total number of outcomes)

Simplifying this equation, we get:

(number of favorable outcomes for stuffed animal) = 4 * (number of favorable outcomes for mystery box)

We can express the number of favorable outcomes for each item as follows:

(number of favorable outcomes for stuffed animal) = x

(number of favorable outcomes for mystery box) = (90 - x)

Substituting these values into our equation, we get:

x = 4 * (90 - x)

Simplifying and solving for x, we get:

x = 60

Therefore, there are 60 mystery boxes in the machine and 90 - 60 = 30 stuffed animals in the machine.