In a​ company, 90​% of the workers are women. If 390 men work for the​ company, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answer :

Answer:

There are 3900 total workers in all.

Step-by-step explanation:

Given:

In a​ company, 90​% of the workers are women.

390 men work for the​ company.

Now, to find the total workers there in all.

The first way to find:

Let the total workers be [tex]x[/tex].

According to question:

[tex]x-90\%\of\ x=390[/tex]

[tex]x-\frac{90}{100}\times x=390[/tex]

[tex]x-0.90x=390[/tex]

[tex]0.10x=390[/tex]

Dividing both sides by 0.10 we get:

[tex]x=3900.[/tex]

Thus, the total workers are 3900.

Now, the second way to find:

Women are 90%.

So men are = 100% - 90% = 10%.

Let the total workers be [tex]w[/tex].

According to question:

[tex]10\%\ of\ w=390.[/tex]

[tex]\frac{10}{100} \times w=390.[/tex]

[tex]0.10w=390.[/tex]

Dividing both sides by 0.10 we get:

[tex]w=3900.[/tex]

Therefore, the total workers are 3900.

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