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08 Aug 2024, 08:45
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (01:05) correct
20%
(01:35)
wrong
based on 83
sessions
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Not Attempted Yet
At a certain store, books are sold in either hard cover or soft cover. Hard cover books are sold for $10 each, while soft cover books are sold for $6 each. Is the number of hard cover books sold greater than the number of soft cover books sold?
(1) The average (arithmetic mean) selling price of all books is $9.
(2) The number of hard cover books sold is 100.
(1) The average (arithmetic mean) selling price of all books is $9.
(2) The number of hard cover books sold is 100.
At a certain store, books are sold. Books are hard cover or soft cover and hard cover books are sold at $10 each and soft cover books are sold at $6. Is the number of hard cover books are sold greater than that of soft cover books?
1) The average price sold of total books is $9
2) The number of hard cover books sold is 100
1) The average price sold of total books is $9
2) The number of hard cover books sold is 100
05 Oct 2024, 03:24
Kudos
Bookmarks
Given:
- Hard cover books are sold for $10 each
- Soft cover books are sold for $6 each
- We need to determine if the number of hard cover books sold is greater than the number of soft cover books sold
Statement (1): The average (arithmetic mean) selling price of all books is $9.
Let x be the number of hard cover books and y be the number of soft cover books.
We can write an equation:
(10x + 6y) / (x + y) = 9
This simplifies to:
10x + 6y = 9x + 9y
x = 3y
This tells us that the number of hard cover books is 3 times the number of soft cover books.
Therefore, statement (1) alone is sufficient to answer the question.
Statement (2): The number of hard cover books sold is 100.
This statement alone doesn't give us any information about the number of soft cover books sold. We can't determine if 100 is greater than the unknown number of soft cover books.
Therefore, statement (2) alone is not sufficient to answer the question.
The answer is (A).
- Hard cover books are sold for $10 each
- Soft cover books are sold for $6 each
- We need to determine if the number of hard cover books sold is greater than the number of soft cover books sold
Statement (1): The average (arithmetic mean) selling price of all books is $9.
Let x be the number of hard cover books and y be the number of soft cover books.
We can write an equation:
(10x + 6y) / (x + y) = 9
This simplifies to:
10x + 6y = 9x + 9y
x = 3y
This tells us that the number of hard cover books is 3 times the number of soft cover books.
Therefore, statement (1) alone is sufficient to answer the question.
Statement (2): The number of hard cover books sold is 100.
This statement alone doesn't give us any information about the number of soft cover books sold. We can't determine if 100 is greater than the unknown number of soft cover books.
Therefore, statement (2) alone is not sufficient to answer the question.
The answer is (A).
