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 are 1.50 soft books are 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

1 answer

To represent Santiago's situation with equations, we can define two variables:

  • Let \( c \) represent the number of cover books he buys.
  • Let \( s \) represent the number of soft books he buys.

From the problem statement, we know the following:

  1. The cost of cover books is $1.50 each.
  2. The cost of soft books is $0.50 each.
  3. Santiago spends a total of $20.

Using this information, we can create two equations to represent the situation:

  1. The total cost equation: \[ 1.50c + 0.50s = 20 \]

  2. The count of books equation (if needed, it can be added, but it's not explicitly asked): \[ c + s = \text{(total number of books he bought, if known)} \]

However, since the total number of books is not specified in the problem, we will primarily use the first equation to solve for \( c \) and \( s \).

Thus, the main equation to represent the situation is: \[ 1.50c + 0.50s = 20 \]

You can use this equation to find out how many of each type of book Santiago could have bought based on the budget of $20.