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.
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?
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