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

Question

Write a two-variable equation to represent this situation.

Answer 1

Let \( b \) represent the number of board books Santiago buys, and let \( s \) represent the number of soft cover books he buys. The cost of board books is $1.50 each, and the cost of soft cover books is $0.50 each. Santiago spends a total of $20.

We can create the following equation to represent this situation:

\[ 1.50b + 0.50s = 20 \]

This equation expresses the total amount spent on board books and soft cover books.

Answer 2

are you sure?

Answer 3

Yes, the equation \(1.50b + 0.50s = 20\) accurately represents the situation based on the information you provided.

To clarify further:

• \(b\) is the number of board books, each costing $1.50.
• \(s\) is the number of soft cover books, each costing $0.50.
• The total amount spent by Santiago is $20.

Hence, multiplying the price per book by the number of books for each type and summing them gives you the total amount spent, leading to the equation:

\[ 1.50b + 0.50s = 20 \]

If you have any further questions or if there's a specific aspect you'd like to discuss, feel free to ask!

Answer 4

no thats wrong, thats how much the books cost, it says he picks a variety and spends 20 dolllars

Answer 5

I apologize for any confusion. Let’s break it down again.

The equation \(1.50b + 0.50s = 20\) is indeed stating that Santiago spent $20 on board books and soft cover books. However, it seems you're looking to express the number of books as a variety.

If you want to express not just the amount spent but also how many books he picked, we typically express the total number of books as well.

Let’s summarize:

• Let \(b\) be the number of board books
• Let \(s\) be the number of soft cover books

He spends $20 total, which we can represent as:

1. Total cost equation: \[ 1.50b + 0.50s = 20 \]

2. Total number of books equation (if we want to consider this as well): \[ b + s = \text{(total number of books)} \]

If we need just a total expenditure equation based on how much he spent, then the first equation still stands correct:

\[ 1.50b + 0.50s = 20 \]

If you need a different perspective or additional context, please let me know!

Answer 6

thats just the same thing, thats incorrect

Answer 7

I apologize for any confusion and appreciate your patience. Let’s clarify the situation.

From the original question, the key points are:

• Board books cost $1.50 each.
• Soft cover books cost $0.50 each.
• Santiago spends $20 overall.

The correct representation of the cost spent on the books with different types can be summarized in a two-variable equation.

The equation I provided, \(1.50b + 0.50s = 20\), correctly reflects the cost of board books and soft cover books in relation to Santiago's total spending.

However, if we are focusing only on the concept of “variety” and want to include the idea of how many books total he purchased without regard to the specific cost:

Let’s say:

• X is the total number of board books
• Y is the total number of soft cover books he bought

Then the generic representation of the number of books and their expenditure leads us back to:

1. Total Cost Equation: \[ 1.50X + 0.50Y = 20 \]

2. Total Book Count: If he selects a total number of books, we could express it as: \[ X + Y = \text{total number of books} \] However, we don't know that quantity unless specified.

If there's a misunderstanding about what you meant by variety or if I'm not accurately addressing your question, please clarify so I can provide a more targeted response. Thank you!

Answer 8

ive tried that and i got it wrong

Answer 9

Thank you for your patience, and I apologize for any confusion in my previous responses. Let's try to clarify what we need step by step.

Santiago is purchasing a variety of board and soft cover books totaling $20. The prices and the situation are as follows:

• Board books cost $1.50 each.
• Soft cover books cost $0.50 each.
• Total spent: $20.

We can set up the following two-variable equation correctly:

Let:

• \( b \) = number of board books
• \( s \) = number of soft cover books

The equation that correctly represents the amount spent on these books is:

\[ 1.50b + 0.50s = 20 \]

This reflects the total cost based on the number of each type of book he bought.

In addressing your concern about "variety," it seems that you might be looking for a different approach or specific numeric values. Here are examples of possible equations based purely on counts of books if we don't have a total count of books given:

1. Price equation: \[ 1.50b + 0.50s = 20 \]

2. Count: If you had a total number of books he bought as a separate piece of information, we would add a second equation like: \[ b + s = \text{(total number of books)} \]

However, if you are looking for a simple expression and the initial question only wants to consider the total spent, the first equation is indeed the accurate representation of the situation.

Please let me know if there's a particular format or specific detail that might be missing here so that I can assist you more effectively! Thank you for your understanding.