To determine how many board books and softcover books Santiago bought, we need to set up an equation based on the total number of books and the total cost.
Let:
- \( b \) = number of board books
- \( s \) = number of softcover books
We know the following:
- \( b + s = 34 \) (total number of books)
- Assuming the prices are consistent, we need more information about how much each type of book costs to find the specific counts.
If we assume a typical scenario where board books might cost more than softcover books, we cannot conclude solely from the given information, as it would require further details on the prices of board books and softcover books.
However, looking through the options provided, we can verify them quickly based on the total number of books:
-
Option 1: 3 board books and 31 softcover books
- \( 3 + 31 = 34 \) (correct)
-
Option 2: 30 board books and 4 softcover books
- \( 30 + 4 = 34 \) (correct)
-
Option 3: 4 board books and 30 softcover books
- \( 4 + 30 = 34 \) (correct)
-
Option 4: 31 board books and 3 softcover books
- \( 31 + 3 = 34 \) (correct)
Since all options satisfy the equation \( b + s = 34 \), without the price information to discern which combination sums to $20, we cannot definitively answer the question.
If you have more specific details about the price of each type of book, please provide that information to solve the problem accurately. Otherwise, based solely on the equations, any of the options could be valid.