bryngirl12
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How am I supposed to know why the variable(x in this case) goes on the top or bottom of the fraction? Like from this question. I am confused.
Because of slumping sales, a small company had to lay off some of its employees. The ratio of total employees to employees laid off is 5 to 1. Find the total number of employees if 22 employees were laid off? How would I know?

Respuesta :

Answer:

see explanation

Step-by-step explanation:

When constructing the ratio to solve, let x be the quantity to be found.

In this case the total number of employees

The 1 part of the ratio represents employees laid off, that is 22

The 5 part of the ratio represents total employees

The x and 5 go together, either on the numerator or denominator

[tex]\frac{5}{1}[/tex] = [tex]\frac{x}{22}[/tex]

5 and x both on numerator

OR

[tex]\frac{1}{5}[/tex] = [tex]\frac{22}{x}[/tex]

5 and x both on denominator

Both will lead to the same answer

[tex]\frac{5}{1}[/tex] = [tex]\frac{x}{22}[/tex] ( cross- multiply )

x = 5 × 22 = 110 ← total number of employees

[tex]\frac{1}{5}[/tex] = [tex]\frac{22}{x}[/tex] ( cross- multiply )

x = 5 × 22 = 110 ← total number of employees

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