Question

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)

Answer 1

Part A

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

$65$% prefer the talk news radio,

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

Part B

We apply ratio to find x.

$65:x$

$35:28$

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

If more, less will divide.

This implies that,

$x=\frac{65\times 28}{35}=52$

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