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mark has 312 books in his bookcases. He has 11 times as many fiction books as nonfiction books. How many fiction books does Mark have? please tell me how you got answer step by step? thank you

Respuesta :

Let number of non/fraction books =x
Then number of fiction books=11x
So, we form the equation x+11x=312
12x=312 x=26 so mark has 26*11=286 fiction books
JeanaShupp

Answer: 286


Step-by-step explanation:

Let the number of non fiction books be 'x'

Then the number of fiction books = 11x

Total books in Mark's bookcase= 312

According to the given situation the equation will be

[tex]x+11x=312\\\Rightarrow12x=312..............[\text{combine like terms}]\\\Rightarrow\ x=26.......[\text{divide 12 on both sides}][/tex]

Hence, the number of non fiction books=26

and the number of Fiction books =[tex]11\times26=286[/tex]

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