My questions is: 25% of a class don't play basketball. 27 children do. How many are in the class?
0.75x = 27
To find the total number of children in the class, we need to determine the percentage of children who don't play basketball. We know that 25% of the class doesn't play basketball, which means that 75% of the class does play basketball.
If 27 children play basketball (which is 75% of the class), we can set up a proportion to find the total number of children in the class:
75% (children playing basketball) / 27 = 100% (total number of children in the class) / X
To solve for X (the total number of children in the class), we can cross-multiply:
(75%)(X) = (27)(100%)
Divide both sides by 75% to isolate X:
X = (27)(100%) / 75%
Calculating this:
X = 27 * 100 / 75
X = 36
Therefore, there are 36 children in the class.
To find the total number of children in the class, you can use the concept of finding the whole from a given percentage. Here's how you can calculate it:
1. Begin by setting up the equation using the information provided. Let's denote the total number of children as 'x'.
Given that 25% of the class doesn't play basketball, we can express this mathematically as:
0.25x (representing the 25%) = 27 (the number of children who don't play basketball)
2. To solve for 'x', divide both sides of the equation by 0.25:
0.25x / 0.25 = 27 / 0.25
This simplifies to:
x = 108
Therefore, there are 108 children in the class.