15 binders can bind 1400 books in 21 days. How many binders will be
required to bind 1600 books in 20 days? A. 14 B. 18 C. 24 D. 28
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The number of binders required to bind 1600 books in 20 days is 18.
Given:
15 binders need 21 days to bind 1400 books.
To Find:
The number of binders required to bind the 1600 books in 20 days.
Solution:
We are required to find the number of binders required to bind 1600 books in 20 days.
- The number of books is directly proportional to the number of days and number of binders.
- The number of days is inversely proportional to the number of binders.
Number of books = number of days×number of binders
From the above data, we have
1400 = 21×15 ------(1)
1600 = 20×x -------(2)
where x is the number of binders
By dividing equation(2) and equation(1)
20x/(21×15) = 1600/1400
20x = (16×21×15)/14
= 360
x = 360/20
x = 18
Therefore, The number of binders required to bind 1600 books in 20 days is 18.
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