omgTheyKilledKenny
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Help please!!

Celine observed that 80% of patrons at the local library liked reading sci-fi novels. If 35 patrons did not like reading sci-fi novels, how many patrons did enjoy sci-fi novels?

Part A: Write an equation in one variable that can be used to find the total number of patrons at the library? Define the variable used in the equation.

Part B: How many patrons enjoy reading sci-fi novels? Show your work.

Respuesta :

tramserran

Answer: Part A = (100% - 80%)P = 35, Part B = 140

Step-by-step explanation:

Percentage:  Like + Don't like = 100%

                     80%  + Don't like = 100%

                   -80%                         -80%

                                  Don't like = 20%

People: 20% of Patrons = Don't Like

             0.20  x Patrons = 35

          ÷ 0.20                   ÷ 0.20    

                           Patrons = 175

Now, let's write the equation we used to get that answer:

Let P represent the total number of patrons, then the equation is:

 (100% - 80%)P = 35

= (1.00 - 0.80)P = 35

=       0.20P     = 35

 =             P      = 175

Part B:  

80% of Patrons = Like

0.80  x    175      = Like

         140            = Like