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1)) Brooke had a collection of 20 pins. Her cousins each bought her 4 pins. Shortly after that, Brooke gave 2 pins to her best friend. ()) Which expression tells you how many pins rooke has now? \( 20+(3 \cdot 4)-2 \) \( 20-(3 \cdot 4)+2 \)

Ask by Newton Cole. in the United States
Feb 27,2025

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The expression that shows how many pins Brooke has now is \( 20 + (3 \cdot 4) - 2 \).

Solución

Let's break down the problem step by step to determine how many pins Brooke has now. 1. **Initial Collection**: Brooke starts with 20 pins. 2. **Cousins' Contribution**: Each of her cousins bought her 4 pins. The problem states "cousins," which implies there are multiple cousins. However, the exact number of cousins is not given. For the sake of this problem, let's assume there are 3 cousins (as indicated by the expressions provided). - Therefore, the total number of pins received from her cousins is \( 3 \cdot 4 = 12 \) pins. 3. **Giving Away Pins**: Brooke then gives away 2 pins to her best friend. Now, we can express the total number of pins Brooke has after these transactions: - Start with 20 pins. - Add the pins received from her cousins: \( 20 + 12 \). - Subtract the pins given to her friend: \( (20 + 12) - 2 \). This simplifies to: \[ 20 + (3 \cdot 4) - 2 \] Now, let's compare this with the provided expressions: 1. \( 20 + (3 \cdot 4) - 2 \) 2. \( 20 - (3 \cdot 4) + 2 \) The correct expression that tells us how many pins Brooke has now is: \[ 20 + (3 \cdot 4) - 2 \] Thus, the answer is the first expression: \( 20 + (3 \cdot 4) - 2 \).

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Bonus Knowledge

Brooke started with her 20 pins and received 4 pins from each of her 3 cousins, which adds a total of 12 pins (3 cousins × 4 pins). After that, she gave away 2 pins to her best friend. So the correct expression that tells you how many pins Brooke has now is \( 20 + (3 \cdot 4) - 2 \), which simplifies to \( 20 + 12 - 2 = 30 \). Understanding how expressions work can be really fun, especially when you start to visualize the scenario! Picture Brooke with her colorful pins as she receives each one enthusiastically from her cousins—she's gaining a treasure trove of unique pin designs! And then, in a moment of generosity, she shares a couple of them with her best friend, making the day special for both of them. Doing math with real-world contexts makes it relatable!

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