Question
A library charges $0.15 per day for overdue books. Antonio has 2 books that are 12 days overdue. How much will he pay in fines?
Answer:
A bookstore has 986 paperback books. Each display shelf can hold 50 paperback books. How many shelves does the store need to display all the books?
Answer:
Answer:
A bookstore has 986 paperback books. Each display shelf can hold 50 paperback books. How many shelves does the store need to display all the books?
Answer:
Answers
GPT-4o mini
To calculate the fines for Antonio for his overdue books:
1. **Daily fine per book**: $0.15
2. **Number of overdue books**: 2
3. **Days overdue**: 12
Now, let's calculate the total fine:
\[
\text{Total fine} = \text{Number of books} \times \text{Daily fine} \times \text{Days overdue}
\]
\[
\text{Total fine} = 2 \times 0.15 \times 12 = 2 \times 1.80 = 3.60
\]
So, Antonio will pay **$3.60** in fines.
---
Now for the bookstore question:
1. **Total number of paperback books**: 986
2. **Capacity of each shelf**: 50
To find the number of shelves needed, divide the total number of books by the capacity of each shelf and round up if necessary:
\[
\text{Number of shelves} = \frac{\text{Total books}}{\text{Shelf capacity}} = \frac{986}{50} = 19.72
\]
Since you can't have a fraction of a shelf, round up to the nearest whole number:
\[
\text{Number of shelves needed} = 20
\]
Therefore, the store needs **20 shelves** to display all the books.
1. **Daily fine per book**: $0.15
2. **Number of overdue books**: 2
3. **Days overdue**: 12
Now, let's calculate the total fine:
\[
\text{Total fine} = \text{Number of books} \times \text{Daily fine} \times \text{Days overdue}
\]
\[
\text{Total fine} = 2 \times 0.15 \times 12 = 2 \times 1.80 = 3.60
\]
So, Antonio will pay **$3.60** in fines.
---
Now for the bookstore question:
1. **Total number of paperback books**: 986
2. **Capacity of each shelf**: 50
To find the number of shelves needed, divide the total number of books by the capacity of each shelf and round up if necessary:
\[
\text{Number of shelves} = \frac{\text{Total books}}{\text{Shelf capacity}} = \frac{986}{50} = 19.72
\]
Since you can't have a fraction of a shelf, round up to the nearest whole number:
\[
\text{Number of shelves needed} = 20
\]
Therefore, the store needs **20 shelves** to display all the books.