average hourly wages service workers in certain City last month was $14.25 this is 102.55% of average from same month last year what was the average hourly wage for this month last year



Answer :

Answer:

Step-by-step explanation:

We'll set up an equation:

14.25 = 1.0255x (which says, in words, "14.25 is 102.55% of what number?).

x = 13.90

Check it by plugging in 13.9 for x in the equation.

Answer:

  $13.896

Step-by-step explanation:

You want the average hourly wage for this month last year, given that $14.25 is 102.55% of it.

Wage

Let w represent the wage for this month last year. We are given ...

  102.55% × w = $14.25

To find w, we divide both sides of the equation by 102.55%:

  w = $14.25/102.55% ≈ $13.896

The average hour wage this month last year was $13.896.

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Additional comment

In order to get the given percentage to 5 significant figures, the wage needs to be expressed to at least 5 significant figures. That is why we have not rounded to cents.

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