Math Problem: Bead Colors At A Children's Jewelry Exhibition
Hey guys! Let's dive into a fun math problem! Imagine a super cool exhibition showcasing jewelry made by kids. We've got a scenario involving beads of different colors, and we need to figure out how many of each type were used. This is a classic word problem that helps us practice some essential math skills like addition, multiplication, and a little bit of algebraic thinking. So, grab your pencils and let's get started!
Unpacking the Bead Bonanza
Okay, so the problem sets the scene at an exhibition of children's jewelry. The total number of beads used is something we need to determine based on the information provided. First, we know that there were a total of 84 white and pink beads combined. This is our first key piece of information. Think of it like this: we have a group of white and pink beads, and when we count them all up, the number is 84. Simple enough, right? The challenge is to figure out the number of each color. Next, the problem tells us about the green beads. The problem specifies that there are 121 times more green beads than the total number of white and pink beads combined. This is where things get a little more complex, but we'll break it down step by step. This means we'll need to multiply the number of white and pink beads (84) by 121. This will give us the total number of green beads. Finally, we're told that the number of white beads is three times greater than the number of pink beads. This gives us a ratio or a relationship between the white and pink beads. This is where a little bit of algebraic thinking comes in. Let's start with a variable; let 'x' represent the number of pink beads. Since white beads are three times the number of pink beads, we can represent the number of white beads as 3x. That's a lot of information, but it is super fun and interesting!
To make things super simple, we'll assign 'x' to represent the number of pink beads. Now, since there are three times as many white beads as pink beads, we can represent the number of white beads as '3x'. The total number of white and pink beads combined is 84. Therefore, we can write an equation: x + 3x = 84.
Solving for the Bead Counts
Alright, time to get our math hats on and solve for the unknown! We've got our equation: x + 3x = 84. This is a pretty straightforward algebraic equation. The first step is to combine like terms. On the left side of the equation, we have 'x' and '3x'. Adding these together gives us '4x'. So, our equation now looks like this: 4x = 84. To isolate 'x' (which represents the number of pink beads), we need to divide both sides of the equation by 4. This is a fundamental rule of algebra: whatever you do to one side of the equation, you must do to the other to keep it balanced. Dividing 84 by 4 gives us 21. Therefore, x = 21. This means there are 21 pink beads. But we're not done yet! We also need to find out how many white beads there are. Remember, white beads are represented by 3x. Since we know x = 21, we can substitute that value into our expression: 3 * 21 = 63. This tells us that there are 63 white beads. We have already determined that the number of white and pink beads is 84. To find the number of green beads we need to multiply 84 by 121. 84 * 121 = 10164.
So, here's what we've found so far:
- Pink beads: 21
- White beads: 63
- Green beads: 10164
Isn't it fascinating how we can solve this using simple math? So, you guys see? It is not that complicated at all! Math can be a lot of fun, it just needs to be approached correctly!
Putting It All Together: The Grand Total
Now that we've calculated the number of each color of beads, let's find the grand total to complete our problem. We know there are 21 pink beads, 63 white beads, and 10164 green beads. To find the total, we simply add them up: 21 + 63 + 10164. Adding these numbers together gives us 10248. Therefore, the total number of beads used in the exhibition is 10,248. That's a lot of beads! We've successfully navigated the math problem, using our knowledge of algebra, multiplication, and addition. Great job, everyone! Let's take a moment to reflect on what we've learned. We started with a word problem, broke it down into smaller parts, identified the key information, and used math to find the answers. Along the way, we practiced some valuable problem-solving skills, and saw how math can be applied in real-life scenarios. It's a great demonstration of how math is more than just numbers on a page; it's a tool we can use to understand and solve problems in the world around us. So, the next time you encounter a math problem, remember this one, and know that you have the skills to solve it! It is just a matter of practice and consistency!
We started with a total of 84 beads, and we knew the white beads were three times the number of pink beads. By setting up a simple equation, we determined that there were 21 pink beads and 63 white beads. We then learned that the green beads were 121 times more than the total of white and pink beads. After calculating that, we found the total amount of beads for each color. This problem demonstrated the importance of breaking down the problem into smaller parts and using the correct operations to solve them. By identifying the key information and performing the correct calculations, you can solve similar problems with confidence. It is a fantastic tool that helps you understand how things work and how to deal with problems.
Keep practicing, keep learning, and remember that math can be a fun adventure! Until next time, keep exploring the world of numbers!
Key Takeaways:
- Always read the problem carefully: Make sure you understand what's being asked.
- Identify key information: Highlight or underline the important numbers and relationships.
- Break it down: Split the problem into smaller, more manageable steps.
- Use the right tools: Addition, multiplication, and a little bit of algebra are all you need here.
- Check your work: Make sure your answers make sense in the context of the problem.