To determine which equation accurately represents the financial situation described, we need to consider the costs associated with the magazines and books Hugh bought.
1. Cost of each magazine: \$3.95
2. Cost of each book: \$8.95
3. Total amount spent: \$47.65
4. Let \( m \) be the number of magazines and \( b \) be the number of books.
From these points, we can establish an equation that reflects the given situation.
The total cost for all magazines can be calculated as:
[tex]\[ \text{Cost of magazines} = 3.95m \][/tex]
The total cost for all books can be calculated as:
[tex]\[ \text{Cost of books} = 8.95b \][/tex]
Since Hugh spent a total of \$47.65 on magazines and books, we can combine the individual costs to form the total cost equation:
[tex]\[ 3.95m + 8.95b = 47.65 \][/tex]
Let's now evaluate the options provided to see which one matches our derived equation:
- \( m + b = 47.95 \)
- \( m + b = 60.55 \)
- \( 3.95m + 8.950 = 47.65 \)
- \( 8.95m + 3.95b = 47.65 \)
The correct equation, according to our derived expression, is:
[tex]\[ 3.95m + 8.95b = 47.65 \][/tex]
So the correct answer is:
[tex]\[ 3.95m + 8.95b = 47.65 \][/tex]
