anonymous
  • anonymous
Ellie had 44 books in here bookcase. She counted 32 fiction book and the rest were nonfiction. What was the ratio of fiction books to nonfiction book in Ellie's bookcase? A. 8 to 3 B. 8 to 11 C. 11 to 3 D. 3 to 8
Mathematics
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anonymous
  • anonymous
Ellie had 44 books in here bookcase. She counted 32 fiction book and the rest were nonfiction. What was the ratio of fiction books to nonfiction book in Ellie's bookcase? A. 8 to 3 B. 8 to 11 C. 11 to 3 D. 3 to 8
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
First let's find the number of nonfiction books. So if there are 32 fiction and 44 total, to find the nonfiction just do 44-32.
anonymous
  • anonymous
12

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anonymous
  • anonymous
Right. So now we put together our ratio. Keep in mind that \[\large x~to~y~=~\frac{x}{y}\] so \[\large fiction~to~nonfiction~=~\frac{fiction}{nonfiction}\]
anonymous
  • anonymous
So if we substitute the values of fiction and nonfiction in, what would it look like?
anonymous
  • anonymous
I'm not sure
anonymous
  • anonymous
Well how many fiction books are there and how many nonfiction books are there?
anonymous
  • anonymous
32 fiction and 12 nonfiction
anonymous
  • anonymous
Right. So susbtitute the number of fiction and the number of nonfiction into \[\large \frac{fiction}{nonfiction}\]
anonymous
  • anonymous
you mean like 12/32
anonymous
  • anonymous
The opposite \[\large \frac{32}{12}\] but anyways now it's time to simplify. Do you know how to do that?
anonymous
  • anonymous
8/3
anonymous
  • anonymous
Right! So now, we just have to translate it back to the other ratio form. If \[\large \frac{x}{y}~=~x~to~y\] then what will \[\large \frac{8}{3}\]be?
anonymous
  • anonymous
8 to 3
anonymous
  • anonymous
Correct! Good job! :)
anonymous
  • anonymous
Thank you for the help
anonymous
  • anonymous
\[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]

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