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Akimi4 [234]
3 years ago
13

suppose the number of fiction books is 2/7 times the number of nonfiction books. what would be the ratio of the numbers of nonfi

ction books to the total number of books.
Mathematics
1 answer:
Elis [28]3 years ago
7 0
Well, the total amount of books is all fiction books and nonfiction books, let's say is "x", total

now, the fiction books are 2:7 or 2/7 to nonfiction

so, if we divide the total "x" by 2+7, or 9, 2 of those quotients go to fiction and 7 of those go to nonfiction

if we divide "x" by 9, a "whole" is 9/9 or (9/9)x or 1x or just "x"

and we know 7 of those 9ths belong to nonfiction, thus

\bf \begin{array}{clclclll}
\cfrac{2}{9}&+&\cfrac{7}{9}&=&\cfrac{9}{9}\\
\uparrow &&\uparrow &&\uparrow \\
fiction&&nonfiction&&whole
\end{array}\\\\
-----------------------------\\\\
\cfrac{nonfiction}{whole}\implies \cfrac{7}{9}\implies 7:9\impliedby ratio
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