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Use the following scenario to solve questions 5 - 7.

Santiago is working at his mom's daycare this summer. His mom 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. Which equation represents the situation described?

(1 point)
Responses

1.50x + 0.50x = 20
1.50x + 0.50x = 20

2x = 20
2x = 20

1.50x + 0.50y = 20
1.50x + 0.50y = 20

20 - 2x = 0

1 answer

The correct equation that represents the situation described is:

1.50x + 0.50y = 20

In this equation:

  • \( x \) represents the number of board books Santiago buys, and they cost $1.50 each.
  • \( y \) represents the number of soft cover books he buys, and they cost $0.50 each.
  • The total amount he spends is $20.

Thus, the equation sums the total costs of both types of books.