David expressed the ratio of the number of books that he owns to the number of DVDs that he owns as 27:11. Which statement could be true based upon this relationship?
David has 27 books for every 11 DVDs.
David has 27 books for every DVDs
To determine which statement could be true based on the given ratio, we need to understand what a ratio represents. A ratio is a way to compare two quantities or values.
In this case, the ratio of the number of books that David owns to the number of DVDs he owns is given as 27:11. This means that for every 27 books he owns, he has 11 DVDs.
Now let's analyze the given statements:
1. David owns 54 books and 22 DVDs.
We can check if this statement is true by creating a ratio: 54 books / 22 DVDs = 27/11. The ratio is indeed equivalent to the given ratio of 27:11. Therefore, this statement could be true.
2. David owns 15 books and 20 DVDs.
Let's check this statement using the same method: 15 books / 20 DVDs = 15/20. This ratio is not equivalent to 27:11, so this statement is not true based on the given relationship.
3. David owns 30 books and 15 DVDs.
Checking this statement: 30 books / 15 DVDs = 30/15. Again, this ratio is not equivalent to the given ratio of 27:11, so this statement is not true.
Based on the analysis, the statement that could be true based on the given ratio is:
1. David owns 54 books and 22 DVDs.