# 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?

- The number of first editions published was 50 more than twice the number of reprints published.
- 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.**