94.25% of mice prefer air conditioning to fans. if 75,400 mice want air conditioning, how many mice voted in total?
Let's assume that the percentage of mice preferring air conditioning to fans remains constant.
The equation can be set up as follows:
(94.25 / 100) * x = 75,400
To find x, we will solve for it:
x = (75,400 * 100) / 94.25
x ≈ 79,972.71
Therefore, approximately 79,972.71 mice voted in total.
To determine the total number of mice that voted, we can set up a proportion using the information given.
Let's assume "x" represents the total number of mice that voted.
Based on the given information, we know that 94.25% of mice prefer air conditioning. This means that 94.25% or 0.9425 (in decimal form) of the total number of mice voted for air conditioning.
So, we can set up the following proportion:
0.9425 = 75,400 / x
To solve for x, we can cross-multiply:
0.9425 * x = 75,400
Divide both sides of the equation by 0.9425:
x = 75,400 / 0.9425
Using a calculator, we can calculate:
x ≈ 79,965.78
Therefore, approximately 79,966 mice voted in total.
To find the total number of mice that voted, we can use the concept of proportions.
Let's assume the total number of mice who voted is represented by "x".
According to the information given, 94.25% of mice prefer air conditioning. This means that 94.25% of x mice voted for air conditioning.
To calculate this, we can set up a proportion:
(94.25/100) = (75,400/x)
To solve this proportion for x, we can cross-multiply:
94.25x = 75,400*100
Now, divide both sides of the equation by 94.25 to isolate x:
x = (75,400*100) / 94.25
Now, calculate the value of x using a calculator:
x ≈ 79,913
Therefore, approximately 79,913 mice voted in total.