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Haeden observed that 65% of her coworkers prefer the local talk news radio station. If 28 of her coworkers do not prefer talk news radio, how many coworkers do prefer talk news radio? Part A: Write an equation in one variable that can be used to find the total number of coworkers that Haeden has. Define the variable used in the equation. (5 points) Part B: How many of her coworkers prefer the local talk news radio station? Show your work. (5 points)

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kudzordzifrancis

Part A


Let x represent the number of coworkers who prefer the talk news radio.


[tex]65[/tex]% prefer the talk news radio,



[tex]100-65=35[/tex]% will be the percentage that corresponds to coworkers who do not prefer the talk news radio.


Part B


We apply ratio to find x.




[tex]65:x[/tex]



[tex]35:28[/tex]


Hence number that corresponds to 65% will be greater than 28.


If more, less will divide.


This implies that,



[tex]x=\frac{65\times 28}{35}=52[/tex]


Hence 52 of her coworkers prefer the local news talk station.

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