Homework Help: math

Posted by maggie on Sunday, September 30, 2012 at 9:42pm.

MEghan had 36 books in her locker. Some were library books, text books and the rest were telephone books. THe number of library books and phone books combined equals twice the number of text books. The number of text books and telephone books equals three times the number of library books. How many of each kind of book were in Megan's locker?

math - Reiny, Sunday, September 30, 2012 at 9:59pm
telephone books --- x
textbooks ----- y
library books 36-x-y

36-x-y + x = 2y or 3y = 36
y = 12
y + x = 3(36-x-y)
y+x = 108 - 3x - 3y
4x + 4y = 108
x+y= 27
but y = 12
so, x + 12 = 27
x = 15
then 36-12-15 = 9

number of telephone books = 15
number of textbooks = 12
number of library books = 9

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