The public library has exactly 2 floors. It has 2/3 as many shelves in its second floor as it does on its first. If the second floor has 5/6 as many books per shelf as the fist floor, what fraction of the library's books are in the first shelf.
a. 1/4
b. 5/5
c. 5/9
d. 9/14
e. 5/6
D
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Fractions
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ornelaspedro
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truplayer256
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x= Number of shelves on the first floor
y= Number of books per shelf on the first floor
2/3(x)= Number of shelves on the second floor
5/6(y)= Number of books per shelf on the second floor
Total number of books on the first and second floor= xy+5xy/9=14xy/9
Fraction of books on the first floor= xy/(14xy/9)=xy*9/14xy=9/14 D
y= Number of books per shelf on the first floor
2/3(x)= Number of shelves on the second floor
5/6(y)= Number of books per shelf on the second floor
Total number of books on the first and second floor= xy+5xy/9=14xy/9
Fraction of books on the first floor= xy/(14xy/9)=xy*9/14xy=9/14 D
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chetanojha
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Since you are asked ratio it doesn't matter what no. you substitute.ornelaspedro wrote:The public library has exactly 2 floors. It has 2/3 as many shelves in its second floor as it does on its first. If the second floor has 5/6 as many books per shelf as the fist floor, what fraction of the library's books are in the first shelf.
a. 1/4
b. 5/5
c. 5/9
d. 9/14
e. 5/6
D
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