Question

You have shares in 4 companies. In total, you hold 400 shares. How many shares do you hold in each company?

Answer 1

You hold 100 shares in each of the 4 companies.

Step-by-step explanation:

In order to determine the number of shares held in each company, we can set up a system of equations. Let x represent the number of shares held in each company. Since you have a total of 400 shares, the equation would be 4x = 400. To find the value of x, divide both sides of the equation by 4. Therefore, x = 100. This means you hold 100 shares in each of the 4 companies.

Now, let's delve into the mathematical explanation. The equation 4x = 400 is derived from the fact that you have 4 companies, each with x shares, and the total number of shares is 400. Solving for x, you divide both sides by 4, which isolates x. Thus, x = 100, indicating the number of shares in each company. The subscript notation (x₁, x₂, x₃, x₄) would represent the shares in the respective companies.

In summary, through the equation 4x = 400, you ascertain that the number of shares in each company is 100. This is achieved by dividing the total number of shares by the number of companies. The subscript notation x₁ = 100, x₂ = 100, x₃ = 100, and x₄ = 100 encapsulates the distribution of shares across the four companies, resulting in a balanced holding of 100 shares in each.

Answer 2

You hold 100 shares in each company.

Step-by-step explanation:

In order to determine the number of shares you hold in each company, you can divide the total number of shares you hold (400) by the number of companies you have shares in (4). This will give you the average number of shares you hold in each company.

In this case, 400 divided by 4 equals 100. Therefore, you hold 100 shares in each company.