At a construction job for a museum, 9 painters were tasked with painting the interior. These painters made up 55% of the painting crew, so how many painters in all worked on this job? Round your answer to the nearest whole number if necessary.
(I will mark brainliest if you give the answer+explanation)​

Respuesta :

Answer:

16

Step-by-step explanation:

First, you can create a ratio:

Number of people/percentage of total

So 9 being 55% of the painting crew would be:

[tex]\frac{9}{0.55}[/tex], because we are trying to find the total number of painters, you can create another fraction where x is the numerator (number of people) and the denominator is 1 (or 100% of the painters). [tex]\frac{x}{1}[/tex]

Because these fractions are proportions of the same thing, we can set them equal to each other.

[tex]\frac{9}{0.55} =\frac{x}{1}[/tex], cross multiplying gives:

9=0.55x

Dividing both sides by 0.55 gives:

x=(around) 16