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If 18 Binders Bind 900 Books in 10 Days, How Many Binders will be Required to Bind 660 Books in 12 Days?

  • If 18 binders bind 900 books in 10 days.
  • Binders required to bind 660 books in 12 days can be figure out in this way.

Explanation

Three given entities here are

  1. Books
  2. Days
  3. Binders

To determine the relation here, let suppose; Binders required to bind 660 books in 12 days = y

Case I

Books        Binders

900             18

660            y

  • More books mean more binders.
  • Less books mean less binders.

This clearly indicates that there is direct relation.

Direct/Indirect relation tells how the equation will be written.

900 : 660  ::  18 : y ________ (i)

Case II

Days           Binders

10               18

12               y

  • More days mean less binders.
  • Less days mean more binders.

This clearly indicates that there is inverse relation.

Direct/Indirect relation tells how the equation will be written.

12 : 10  ::  18 : y ________ (ii)

By (i) and (ii)

900 : 660  ::  18 : y

12 : 10

900 x 12 x y = 660 x 10 x 18 ________ (A)

After simplifying equation (A), we can easily figure out the value of y (y = 11)

To Find

Binders required to bind 660 books in 12 days = ?

Solution

Method I

Let suppose

Binders required to bind 660 books in 12 days = y

Books        Days          Binders

900             10               18

660            12               y

  • Relation between books and binders is direct.
  • Relation between days and binders is inverse.

So

900 : 660  ::  18 : y

12 : 10

900 x 12 x y = 660 x 10 x 18

10800y = 118800

y = 118800/10800

y = 11

Binders required to bind 660 books in 12 days = 11 binders answer

Method II

Binders required to bind 900 books in 10 days = 18 binders

Binders required to bind 900 books in 1 day = (18 x 10) binders

Binders required to bind 900 books in 1 day = 180 binders

Binders required to bind 1 book in 1 day = 180/900 binders

Binders required to bind 1 book in 1 day = 1/5 binders

Binders required to bind 660 books in 1 day = 660/5 binders

Binders required to bind 660 books in 1 day = 132 binders

Binders required to bind 660 books in 12 days = 132/12 binders

Binders required to bind 660 books in 12 days = 11 binders

Binders required to bind 660 books in 12 days = 11 binders answer

Conclusion

If 18 binders bind 900 books in 10 days, 11 binders will be required to bind 660 books in 12 days.

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