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

Question

4 years ago

7

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.

Mathematics

1 answer:

pychu [463] · Answer 1 · 2022-01-21T23:59:34+03:00

Part A. Let the total number of patrons be x. Then the number of patrons that liked reading sci-fi novels is x-35. Now

x-35 is 80%

35 is 100%-80%=20%.

Mathematically, you can write a proportion:

$\dfrac{x-35}{80}=\dfrac{35}{20},\\ \\x-35=\dfrac{35\cdot 80}{20},\\\\x-35=140,\\\\x=175.$

Part B. The total nuber of patrons is 175, 35 did not like the sci-fi novels, then 140 liked.