Question

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.

Answer 1

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

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