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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    @Lyralei

  2. anonymous
    • one year ago
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    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.

  3. anonymous
    • one year ago
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    12

  4. anonymous
    • one year ago
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    Right. So now we put together our ratio. Keep in mind that \[\large x~to~y~=~\frac{x}{y}\] so \[\large fiction~to~nonfiction~=~\frac{fiction}{nonfiction}\]

  5. anonymous
    • one year ago
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    So if we substitute the values of fiction and nonfiction in, what would it look like?

  6. anonymous
    • one year ago
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    I'm not sure

  7. anonymous
    • one year ago
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    Well how many fiction books are there and how many nonfiction books are there?

  8. anonymous
    • one year ago
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    32 fiction and 12 nonfiction

  9. anonymous
    • one year ago
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    Right. So susbtitute the number of fiction and the number of nonfiction into \[\large \frac{fiction}{nonfiction}\]

  10. anonymous
    • one year ago
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    you mean like 12/32

  11. anonymous
    • one year ago
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    The opposite \[\large \frac{32}{12}\] but anyways now it's time to simplify. Do you know how to do that?

  12. anonymous
    • one year ago
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    8/3

  13. anonymous
    • one year ago
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    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?

  14. anonymous
    • one year ago
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    8 to 3

  15. anonymous
    • one year ago
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    Correct! Good job! :)

  16. anonymous
    • one year ago
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    Thank you for the help

  17. anonymous
    • one year ago
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    \[\huge \color{aqua}N\color{fuchsia}o \space \color{lime}P \color{orange}r \color{blue}o \color{maroon}b \color{red}l \color{olive}e \color{purple}m \ddot\smile \]

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