To check if it is possible for Santiago to have bought 10 board books and 5 softcover books, we can use the equation from part A which states that the total cost ($60) is equal to the cost per board book ($7) multiplied by the number of board books (x) plus the cost per softcover book ($4) multiplied by the number of softcover books (y).
Using the equation:
60 = 7x + 4y
Substituting the given values:
60 = 7(10) + 4(5)
60 = 70 + 20
60 = 90
Since 60 is not equal to 90, it means that it is not possible for Santiago to have bought 10 board books and 5 softcover books.
Is it possible that Santiago bought 10 board books and 5 softcover books? Use your equation from part A to check. Explain your answer
3 answers
D. What are the constraints of the situation?
The constraints of the situation are the following:
1. The total cost cannot exceed $60.
2. The number of board books and softcover books cannot be negative.
3. The number of board books and softcover books must be whole numbers (no fractions or decimals).
4. The total number of books cannot exceed 15 (as stated in the problem).
1. The total cost cannot exceed $60.
2. The number of board books and softcover books cannot be negative.
3. The number of board books and softcover books must be whole numbers (no fractions or decimals).
4. The total number of books cannot exceed 15 (as stated in the problem).
1 answer