To solve the problem, let's first determine the number of used books.
Given:
- Total books = 11
- New books = 3
To find the number of used books: \[ \text{Used books} = \text{Total books} - \text{New books} \] \[ \text{Used books} = 11 - 3 = 8 \]
Now we can answer the questions:
(a) Ratio of used books to new books: \[ \text{Ratio of used books to new books} = \frac{\text{Used books}}{\text{New books}} = \frac{8}{3} \]
(b) Ratio of all books on the shelf to used books: \[ \text{Ratio of all books to used books} = \frac{\text{Total books}}{\text{Used books}} = \frac{11}{8} \]
Final Answers: (a) The ratio of used books to new books is \( \frac{8}{3} \).
(b) The ratio of all books on the shelf to used books is \( \frac{11}{8} \).
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