Last year Publisher X published 1,100 books, consisting of first editions, revised editions

Last year Publisher X published 1,100 books, consisting of first editions, revised editions, and reprints. How many first editions did Publisher X publish last year?

1. The number of first editions published was 50 more than twice the number of reprints published.
2. The number of revised editions published was half the number of reprints published.

Answer

Number of First edition + Revised Editions + Reprints published = 1100

a + b + c = 1100

Statement 1: The number of first editions published was 50 more than twice the number of reprints published.

a = 2c + 50

From this statement you cannot find the number of first editions. Thus, statement 1 is not sufficient to answer the question.

Statement 2: The number of revised editions published was half the number of reprints published.

b = c/2

c = 2b

From this statement you cannot find the number of first editions. Thus, statement 2 is not sufficient to answer the question.

Combine Both Statements Together

a = 2c + 50 and c = 2b and a + b + c = 11000

There are three equations and three variables. You can find the number of first editions published.

The correct option is C.