Correct Answer: D
Explanation:
Algebra Sets and functions
Let x represent the fiction books that are written
in Spanish. A table could be set up like the one
below, filling in the information that is known or
able to be known:
|
Spanish |
Non-Spanish |
Total |
Fiction |
x |
|
24 |
Nonfiction |
|
|
56 |
Total |
23 |
57 |
80 |
- (1) If a; represents the fiction books written in Spanish, then x+6 can now be used to represent
the fiction books that are not written in Spanish. From the table above, it can be seen then that x + x + 6 = 24, or 2x = 18. Therefore, x, or the
number of fiction books written in Spanish, is 9; SUFFICIENT.
- (2) If x represents the fiction books written in
Spanish, then x+ 5 can now be used to represent
the nonfiction books written in Spanish. From
the table, it can be said that x + x + 5 = 23, or
2x = 18. Therefore, x, or the number of fiction
books written in Spanish, is 9; SUFFICIENT.
The correct answer is D;
each statement alone is sufficient.