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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. Let x = number of board books bought Let y = number of soft-cover books bought (1 point)

3 answers

To represent this situation with a two-variable equation, we need to relate the quantities of board books and soft-cover books Santiago buys to the total amount he spends.

Let:

  • \( x \) = number of board books bought
  • \( y \) = number of soft-cover books bought

The cost of board books is $1.50 each, and the cost of soft-cover books is $0.50 each. If Santiago spends a total of $20, we can write the equation as follows:

\[ 1.50x + 0.50y = 20 \]

This equation represents the total cost of the books he bought.

but 1.50x+0.50y doesnt equal 20 it equals 2

Let’s clarify the expression and ensure we’re on the same page.

The cost of the board books and soft-cover books are given as follows:

  • Each board book (x) costs $1.50
  • Each soft-cover book (y) costs $0.50

If Santiago spends a total of $20, we can set up the equation as follows:

\[ 1.50x + 0.50y = 20 \]

Now, to eliminate the decimals for clarity, we can multiply the entire equation by 2 to make the calculations more straightforward:

\[ 3x + y = 40 \]

This equation represents the situation accurately based on the prices of the books. In terms of the initial equation, \(1.50x + 0.50y = 20\) is correct concerning the total spending, as it correctly calculates the total cost based on the quantities and prices provided. Please confirm if you were interpreting the scenario differently!