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 Write a two-variable equation to represent this situation. Be sure to define the variables you use in your equation
Let's define the variables:
x = number of board books Santiago buys
y = number of soft cover books Santiago buys
Since board books cost $1.50 each and soft cover books cost $0.50 each, the equation to represent this situation is:
1.50x + 0.50y = 20
Is it possible that Santiago bought 10 board books and 5 softcover books? Use your equation from part A to check. Explain your answer.
To check if Santiago could have bought 10 board books and 5 softcover books, we substitute the values into the equation:
1.50(10) + 0.50(5) = 20
15 + 2.5 = 20
17.5 = 20
Since this equation is not true, it means that Santiago could not have bought 10 board books and 5 softcover books with $20.