Certainly! Let's break down this problem step by step to determine how many books Hugh bought.
1. Identify the cost of each magazine and book:
- Cost per magazine = [tex]$3.95
- Cost per book = $[/tex]8.95
2. Identify the total amount spent:
- Total amount spent = $47.65
3. Identify the number of magazines purchased:
- Number of magazines bought = 3
4. Calculate the total cost of the magazines:
[tex]\[
\text{Total cost of magazines} = \text{Number of magazines} \times \text{Cost per magazine}
\][/tex]
[tex]\[
\text{Total cost of magazines} = 3 \times 3.95 = 11.85
\][/tex]
5. Calculate the remaining amount after buying the magazines:
[tex]\[
\text{Remaining amount} = \text{Total amount spent} - \text{Total cost of magazines}
\][/tex]
[tex]\[
\text{Remaining amount} = 47.65 - 11.85 = 35.80
\][/tex]
6. Calculate the number of books bought:
[tex]\[
\text{Number of books bought} = \frac{\text{Remaining amount}}{\text{Cost per book}}
\][/tex]
[tex]\[
\text{Number of books bought} = \frac{35.80}{8.95} = 4
\][/tex]
Hence, Hugh bought 4 books.
