5.emily has 85 books on her bookshelf.of those books,17 are mysteries,18 are adventure stories,and the rest are fantasies.what is the simplified ratio of fantasies to total books on her bookshelf?

A. 35:50

B. 7:17

C. 5:8

D. 10:17

Question

5.emily has 85 books on her bookshelf.of those books,17 are mysteries,18 are adventure stories,and the rest are fantasies.what is the simplified ratio of fantasies to total books on her bookshelf? 




 A. 35:50 

 B. 7:17 

 C. 5:8 

 D. 10:17

mathmale · Answer

How many of these books are mysteries or adventure stories?
How many books (fantasies) remain, out of 85 total books?
How does one form a ratio?  And in this case, what is the appropriate ratio?

anonymous · Answer

@mathmale  i have no clue

anonymous · Answer

@mathmale  i know this is unreasonable...but is it possible of you to give me the answer and maybe explanation because im on a tight scehdule

mathmale · Answer

Would you, quickly, add 17 to 18 and subtract the resulting sum from 85?

anonymous · Answer

ok

anonymous · Answer

50

mathmale · Answer

That's the number of fantasies.  Now how do you form the ratio of the number of fantasies to the total number of books?

anonymous · Answer

35:50??

mathmale · Answer

Great, and (last question), can that fraction be reduced/simplified?

mathmale · Answer

Do 50 and 85 have a common factor?  If so, what is it?

anonymous · Answer

50=1, 2, 5, 10, 25,and 50

85= 1, 5, 17, 85

anonymous · Answer

common factor is 5 right??

mathmale · Answer

Right.  And the largest factor common to both is 5.  Great.  And so, 50/85 = ??

mathmale · Answer

Divide each 50 and 85 by 5.

anonymous · Answer

50 divided by 5= 10
85 divided by 5=17

mathmale · Answer

Right, and that leaves you with 10/17.  Voila!