Hugh bought some magazines that cost [tex]\$3.95[/tex] each and some books that cost [tex]\$8.95[/tex] each. He spent a total of [tex]\$47.65[/tex]. If Hugh bought 3 magazines, how many books did he buy?

The equation that models the problem is [tex]3.95m + 8.95b = 47.65[/tex], where [tex]m[/tex] is the number of magazines and [tex]b[/tex] is the number of books.

[tex]\qquad[/tex] books



Answer :

To determine how many books Hugh bought, we need to follow these steps:

1. Identify the given values:
- Cost of each magazine: \[tex]$3.95 - Cost of each book: \$[/tex]8.95
- Total amount spent: \$47.65
- Number of magazines bought: 3

2. Calculate the total cost of the magazines:
[tex]\[ \text{Total cost of magazines} = \text{Number of magazines} \times \text{Cost per magazine} \][/tex]
Substituting the values, we get:
[tex]\[ \text{Total cost of magazines} = 3 \times 3.95 = 11.85 \][/tex]

3. Determine the amount of money left after buying the magazines:
[tex]\[ \text{Remaining money} = \text{Total amount spent} - \text{Total cost of magazines} \][/tex]
Substituting the values, we get:
[tex]\[ \text{Remaining money} = 47.65 - 11.85 = 35.80 \][/tex]

4. Calculate the number of books bought:
[tex]\[ \text{Number of books} = \frac{\text{Remaining money}}{\text{Cost per book}} \][/tex]
Substituting the values, we get:
[tex]\[ \text{Number of books} = \frac{35.80}{8.95} = 4.0 \][/tex]

Therefore, Hugh bought 4 books.