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

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

books

Just substitute 3 for m, and solve for b:

3.95*3 + 8.95b = 47.65
11.85 + 8.95b = 47.65
. . .

To find the number of books Hugh bought, we can solve the equation 3.95m + 8.95b = 47.65, given that Hugh bought 3 magazines (m = 3).

Substituting m = 3 into the equation, we have:
3.95(3) + 8.95b = 47.65

Now, solve for b.

11.85 + 8.95b = 47.65
Subtract 11.85 from both sides:
8.95b = 35.8
Divide both sides by 8.95:
b = 4

Therefore, Hugh bought 4 books.