25% of a class don’t play basketball.

27 children do.

How many children are in the class?

27 = .75x

Solve for x.

To find the total number of children in the class, we first need to figure out what percentage of the class does play basketball. We know that 25% of the class does not play basketball, which means that the remaining percentage must play basketball.

If 25% don't play basketball, then the percentage that does play basketball is 100% - 25% = 75%.

Now, we know that 27 children play basketball, which is 75% of the total number of children in the class.

To find the total number of children, we need to divide 27 by 75% (or 0.75, since percentages are fractions out of 100).

So, the total number of children in the class is 27 / 0.75 = 36.

Therefore, there are 36 children in the class.

To find out how many children are in the class, we can use the given information that 25% of the class don't play basketball and that there are 27 children who do.

Let's assume that "x" represents the total number of children in the class.

According to the question, 25% of the class doesn't play basketball. Since 25% is equivalent to 1/4, we can calculate the number of children who don't play basketball as x * (1/4) = x/4.

Given that 27 children play basketball, the number of children who don't play basketball must be x - 27.

Therefore, we can set up the equation:

x/4 = x - 27

To solve for x, we can multiply both sides of the equation by 4 to eliminate the fraction:

x = 4 * (x - 27)
x = 4x - 108

Now, let's solve for x by subtracting 4x from both sides of the equation:

x - 4x = -108
-3x = -108

To isolate x, we divide both sides of the equation by -3:

x = -108 / -3
x = 36

So, there are 36 children in the class.