Question

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

Answer 1

@Lyralei

Answer 2

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.

Answer 3

12

Answer 4

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

Answer 5

So if we substitute the values of fiction and nonfiction in, what would it look like?

Answer 6

I'm not sure

Answer 7

Well how many fiction books are there and how many nonfiction books are there?

Answer 8

32 fiction and 12 nonfiction

Answer 9

Right. So susbtitute the number of fiction and the number of nonfiction into \[\large \frac{fiction}{nonfiction}\]

Answer 10

you mean like 12/32

Answer 11

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

Answer 12

8/3

Answer 13

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?

Answer 14

8 to 3

Answer 15

Correct! Good job! :)

Answer 16

Thank you for the help

Answer 17

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