Question

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 their daycare when he gets to the book sale cover books or 50 cents picks out of our new books and spends $20 right at two very equation to represent this situation be sure to define the variables you use in your equation

Answer 1

To represent the situation mathematically, we can define the variables and set up equations based on the information given.

Variables:

• Let \( b \) be the number of paperback books Santiago buys (which cost 50 cents each).
• Let \( h \) be the number of hardcover books Santiago buys (which we can assume cost $1 each for this example, since they typically cost more, but we will adjust accordingly based on context).

Given Information:

• Each paperback book costs $0.50.
• Each hardcover book costs $1 (this is an assumption and can be adjusted based on actual costs).
• Santiago spends a total of $20.

Equations:

1. The total amount spent can be represented by the equation: \[ 0.50b + 1h = 20 \]

2. Additionally, if we need to represent the total number of books purchased (not given in the problem, but often relevant), we could set another equation: \[ b + h = n \quad \text{(where \( n \) is the total number of books)} \]

Summary:

1. Total Cost Equation: \[ 0.50b + 1h = 20 \]

   • Here \( b \) represents the number of paperback books and \( h \) represents the number of hardcover books.

2. You can add more context or equations depending on what specific aspects of the situation you want to analyze, such as the total number of books or types of books purchased.