Saturday, April 12, 2014

Thirty percent of a company's employees are over 50 years of age. If 450 people work at the same company, how many are over 50 years old?

This is a typical problem involving percents. There are a few different way to approach such problems. 
Recall that percent is a numerator (top) of a fraction with the denominator (bottom) equal to a 100. For example, 75% of something is equivalent to 75/100 of that number.
So, one way to solve a percent problem is by setting up a proportion:
Part/Whole = Percent(%)/100 
If 30% of all employees are over 50 years of age, then the ratio of the number of employees over 50 (unknown, or x) to the total number of employees (450) is 30%, or 30/100:
x/450 = 30/100
Proportions can be solved by cross-multiplying:
100x = 30*450
Dividing both sides by 100 results in x = 3*45 = 135 employees.
135 employees of the company are over 50 years old.
Alternatively, a percent formula can be used to solve this problem. It can be written as 
Part = p*Whole.
Here, p is the percent expressed as a decimal. In the given problem, p is 30% = 0.3. Part is the unknown number of employees over 50 years of age, and Whole is the total number of employees of the company, 450.
Therefore, Part = 0.3*450 = 135, which is the same as the result above.
The number of employees over 50 years of age is 135.
 
 
 

No comments:

Post a Comment

Why is the fact that the Americans are helping the Russians important?

In the late author Tom Clancy’s first novel, The Hunt for Red October, the assistance rendered to the Russians by the United States is impor...