Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders, who were not employees?

Question

Business

Carlie Shea

27 June, 10:52

Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders, who were not employees?

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Answers (2)

Know the Answer?

Gabriella Clark · Answer 1

Answer: First, we add the options

A) 62%

B) 53%

C) 45%

D) 38%

E) 34%

53%. Option B.

Explanation:

We are dealing with percentages, therefore the total will always be 0.

From the question:

Stockholders are 62%

Employees are 47%

Total = 62 + 47 = 109

Therefore,

109 - 100 = 9%

Therefore, stockholders who were not employees, i. e. only stockholders are:

62 - 9 = 53%

Option B.

Kallie · Answer 2

53%

Explanation:

Using Venn diagram

Let the people who are employees and stockholders be X, so to get the value of employees alone and stockholders alone,

We will have

0.62-X + X + 0.47-X = 1

Collect like terms

O. 62+047-X=1

1.09-X=1

1.09-1=X

X=0.9

Therefore X=9%

To get the value of stockholders alone, we subtract the value of X from its value

62% - 9% = 53%.