Santiago is working at his mom’s daycare this summer. His mom has asked him to check out the library book sale to look for books they might be able to use in the daycare. When he gets to the book sale, he sees that board books are $1.50 and soft cover books are $0.50. He picks out a variety of books and spends $20
A. Write a two-variable equation to represent this situation. Be sure to define the variables you use in your equation
Let's use the variables "b" to represent the number of board books Santiago buys and "s" to represent the number of soft cover books Santiago buys.
The cost of each board book is $1.50, so the total cost of board books is 1.50*b.
The cost of each soft cover book is $0.50, so the total cost of soft cover books is 0.50*s.
The total amount spent is $20. Therefore, the equation representing this situation is:
1.50b + 0.50s = 20
What are the constraints of the situation
The constraints of the situation could include:
1) The number of books Santiago can buy is limited by the amount of money he has. In this case, he spends $20, so the constraint is:
1.50b + 0.50s ≤ 20
2) The number of books Santiago can buy is also limited by the availability of books at the library book sale. This constraint depends on the specific inventory of board books and soft cover books at the sale.
Constraints could be:
0 ≤ b (Santiago cannot buy a negative number of board books)
0 ≤ s (Santiago cannot buy a negative number of soft cover books)
For the inventory constraint, it could be something like:
b ≤ max_board_books_available
s ≤ max_soft_cover_books_available
These additional constraints would depend on the specific situation and availability of books at the sale.