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6.) A book sale offers 3 books for \( \$ 12 \). If Jack buys 16 books, how much will he pay?

Ask by Kelley Hardy. in the United States
Feb 27,2025

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Tutor-Verified Answer

Answer

Jack will pay \$64 for 16 books.

Solution

To solve the problem, we need to determine how much Jack will pay for 16 books given that the sale offers 3 books for \( \$ 12 \). ### Step 1: Find the price per book First, we calculate the price of one book. Since 3 books cost \( \$ 12 \), we can find the price per book by dividing the total cost by the number of books: \[ \text{Price per book} = \frac{12}{3} = 4 \] ### Step 2: Calculate the total cost for 16 books Now that we know the price per book is \( \$ 4 \), we can find the total cost for 16 books by multiplying the price per book by the number of books: \[ \text{Total cost} = 16 \times 4 \] ### Step 3: Perform the calculation Now, we perform the multiplication: \[ \text{Total cost} = 16 \times 4 = 64 \] ### Final Answer Jack will pay \( \$ 64 \) for 16 books.

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Extra Insights

To find out how much Jack will pay for 16 books, we first determine the cost per book. Since 3 books cost $12, the cost per book is \( \frac{12}{3} = 4 \) dollars. Therefore, for 16 books, Jack will pay \( 16 \times 4 = 64 \) dollars. In this scenario, it helps to break down the problem into smaller parts. First, calculate the price for one set of 3 books, then determine how many sets fit into 16 books. It’s a common mistake to multiply directly without realizing the price can be calculated in bulk, so always check for that shortcut!

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