In examination, 60 % of candidates failed, the number of candidates who passed was 500. Find the number that failed.
0.4x = 500
x = 500/0.4
x = 1250 took the exam.
1250 - 500 = _______ failed
To solve this problem, you can follow these steps:
Step 1: Determine the total number of candidates who took the examination.
Let's assume the total number of candidates who took the examination is represented by "x."
Step 2: Calculate the number of candidates who passed the examination.
Given that 60% of candidates failed, it means that 40% of candidates (100% - 60%) passed.
To find the number of candidates who passed, multiply the total number of candidates (x) by the passing rate (40% or 0.4).
So, the number of candidates who passed the examination is 0.4 * x.
According to the problem, the number of candidates who passed is 500, so we can write the equation:
0.4 * x = 500
Step 3: Solve the equation to find the value of x.
Divide both sides of the equation by 0.4:
x = 500 / 0.4
Simplifying:
x = 1250
Therefore, the total number of candidates who took the examination (x) is 1250.
Step 4: Calculate the number of candidates who failed the examination.
To find the number of candidates who failed, subtract the number of candidates who passed (500) from the total number of candidates (1250):
Number of candidates who failed = 1250 - 500
Simplifying:
Number of candidates who failed = 750
Therefore, the number of candidates who failed the examination is 750.
To find the number of candidates who failed, we can use the information that 60% of the candidates failed.
First, let's find the total number of candidates who took the examination. Since the number of candidates who passed was 500, and this represents 40% of the total number of candidates, we can set up the following equation:
40% of the total candidates = 500.
To solve this equation, we need to convert the percentage to a decimal. We divide both sides of the equation by 40:
(40/100) * total candidates = 500.
0.4 * total candidates = 500.
Now, we can isolate the total number of candidates by dividing both sides of the equation by 0.4:
total candidates = 500 / 0.4.
total candidates = 1250.
Therefore, the total number of candidates who took the examination is 1250.
Next, to find the number of candidates who failed, we can multiply the total number of candidates by the percentage of candidates who failed.
60% of the total candidates = (60/100) * 1250.
0.6 * 1250 = 750.
Therefore, the number of candidates who failed is 750.