Tuesday

October 21, 2014

October 21, 2014

Posted by **Neil** on Sunday, October 15, 2006 at 11:13pm.

He has text books,library books, and telephone books. How many books of each kind does he have if:

lib + tel= 2x text books and

text + tel = 3x lib books

I think it'd be easier to let T,L and B denote text books, library books and telephone books. Then

(1) L + B = 2T

(2) T + B = 3L

We also know

(3) T + L + B = 36

So from (1)

L = 2T - B now substitute into (3) to get

T +2T - B + B = 36 or

3T = 36 so

T = 12, therefore L + B = 24 or L = 24 - B

Then from (2)

12 + B = 3(24 - B) so

12 + B = 72 - 3B and

4B = 60 or B = 15

You should be able to figure out what L is and verify if the answers are correct.

**Answer this Question**

**Related Questions**

math - MEghan had 36 books in her locker. Some were library books, text books ...

Math, Please help :/ - Kyle had 36 books in his locker. Some were library books...

MATHS - Mrs.Koh purchased new books for the school library, of which 6 were ...

math - kyle had 36 books in hislocker. some were library books, some were ...

math - kyle had 36 books in hislocker. some were library books, some were ...

math - kyle had 36 books in hislocker. some were library books, some were ...

English - 1. We should not scribble in books in the library. 2. We should not ...

Maths - 20% of the books in a library were fiction books while the rest were non...

Reading - Rosalind Wiseman books Terra Elan McVoy books Susane Colasanti books ...

math - lara arranged the books in her bookshelf by size. 2/10 of the books were ...