Subjects ratios and proportions

Ratio Statements D2E0Bd

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1. The problem states: The ratio of used books to new books in a bookstore is 7 : 2. 2. A ratio compares quantities of two types, here used books to new books, meaning for every 7 used books, there are 2 new books. 3. Let's analyze each statement: - Statement 1: "There are exactly 7 used books and exactly 2 new books in the bookstore." This is not necessarily true because the ratio 7:2 can represent any multiples, e.g., 14 used and 4 new books. - Statement 2: "For every 7 used books in the bookstore, there are 2 new books." This matches the ratio directly and must be true. - Statement 3: "For every 2 used books in the bookstore, there are 7 new books." This reverses the ratio and is false. - Statement 4: "For every 7 new books in the bookstore, there are 2 used books." This also reverses the ratio and is false. - Statement 5: "None of the above." Since statement 2 is true, this is false. Final answer: Only the second statement is true based on the given ratio.