Calculating Nigora's Savings: A Simple Math Problem

Hey guys! Let's dive into a fun little math problem. We're going to figure out how much money Nigora has in her piggy bank. This is a classic example of a word problem that can be easily solved using basic arithmetic. The key is to break down the information and calculate each part before summing it all up. We'll go through the problem step-by-step, making sure it's super clear and easy to follow. So, grab your calculators (or your brains!) and let's get started. This is the type of problem you might encounter in everyday life – figuring out how much money you have, how much you need, or how much you can spend. Understanding these basic calculations is a valuable skill, and with a little practice, you'll be solving similar problems in no time.

Understanding the Problem: Nigora's Piggy Bank

Okay, so the problem tells us that Nigora has a piggy bank filled with different types of Uzbekistani currency, the Sum. Specifically, she has a mix of old and new bills. Let's break down the details: Nigora has 90 old bills, each worth 50,000 Sum. She also has 30 new bills, and we're not told that the new bills are the same amount, so we need to keep an eye on that. She also has 13 bills, each worth 100,000 Sum. The ultimate goal is to figure out the total amount of money Nigora has in her piggy bank. This involves multiplication and addition, two fundamental mathematical operations. This is not a complex problem, and by methodically addressing each component, the solution becomes apparent. Understanding the different types of bills and their respective values is critical. This also helps develop essential problem-solving and analytical abilities. Being able to work through problems like this can help with budgeting, money management, and everyday financial decisions. We'll make sure it is easy to understand. This whole thing becomes a walk in the park.

Identifying the Key Components

First, let's identify the individual components of Nigora's savings. This problem is all about breaking things down into manageable parts. We have three main parts: the old bills, the new bills, and the 100,000 Sum bills. The old bills have a certain value, which needs to be calculated, and so do the new bills. The same goes for the 100,000 Sum bills. Knowing how many of each type of bill Nigora has and how much each bill is worth is the foundation of this problem. The ability to properly identify and define the component is critical. This process is very useful in mathematical problem-solving, especially when dealing with more complicated scenarios. The information is easy to understand when each value is recognized. Then we know each value and use it to make the final calculation. Then we can use these to calculate the total amount in Nigora's piggy bank. This seems complicated but it is not.

Solving the Problem: Step-by-Step

Now, let's crunch the numbers to find out how much money Nigora has. The approach should be methodical to reduce mistakes. We'll tackle each part of Nigora's savings separately and then combine them to get the final answer. The main calculations will involve multiplication to find the total value of each type of bill and then addition to sum up all the amounts. This method guarantees that the final calculation is done correctly. Keeping track of the values throughout this process is also good practice, and checking for accuracy can go a long way toward making sure the answer is correct.

Calculate the Value of the Old Bills

Let's start with the old bills. Nigora has 90 old bills, and each bill is worth 50,000 Sum. To find the total value of these bills, we need to multiply the number of bills by the value of each bill. So, the calculation is 90 bills * 50,000 Sum/bill. When you do the math, you'll get 4,500,000 Sum. That means the old bills are worth 4,500,000 Sum. This is our first total, and we'll use it later to find the final total of the values in the piggy bank. The simplicity of this step is useful for grasping the problem easily. The correct understanding and application of arithmetic here is important. Then we move on to the next value.

Calculate the Value of the New Bills

Next, we need to calculate the value of the new bills. Nigora has 30 new bills, but the information does not tell us how much each new bill is worth. The provided information is incomplete. We need to know the value of each new bill to calculate the total value. Let's assume, for the sake of demonstration, that each new bill is also worth 50,000 Sum. The calculation would then be 30 bills * 50,000 Sum/bill, which equals 1,500,000 Sum. With the assumption, the new bills are worth 1,500,000 Sum. If the value of the new bills is anything different, then you change the numbers. Again, this is an important step because it prepares us to perform the final calculation. Now you should understand the importance of clearly defined values. These kinds of scenarios help solidify understanding.

Calculate the Value of the 100,000 Sum Bills

Next, let's find out the value of the 100,000 Sum bills. Nigora has 13 bills, and each bill is worth 100,000 Sum. To find the total, we multiply the number of bills by the value of each bill: 13 bills * 100,000 Sum/bill. The calculation gives us 1,300,000 Sum. So, the 100,000 Sum bills are worth 1,300,000 Sum. Knowing this helps move the problem forward and gets us closer to the final total. Now, all we have to do is add up the numbers. Now we can easily find out the amount in the piggy bank.

Finding the Total Amount

Now that we've calculated the value of each type of bill, we need to add them all together to find the total amount of money in Nigora's piggy bank. We have the values of old bills, new bills, and 100,000 Sum bills. The next step is simple. We sum up these values. The total amount is 4,500,000 Sum (old bills) + 1,500,000 Sum (new bills, assuming they are worth 50,000 Sum each) + 1,300,000 Sum (100,000 Sum bills). Adding these values, we get a grand total of 7,300,000 Sum. Therefore, Nigora has 7,300,000 Sum in her piggy bank. We’ve successfully solved the problem by breaking it down into smaller, manageable steps. This final step shows how useful the step-by-step approach is. This final amount is the answer to the original question.

Conclusion: The Final Answer

So, guys, after doing all the calculations, we found that Nigora has a total of 7,300,000 Sum in her piggy bank (assuming the new bills are worth 50,000 Sum each). This problem demonstrates how simple math can be used in real-life scenarios. We used basic arithmetic – multiplication and addition – to solve the problem. Remember, always break down a problem into smaller parts, identify the key information, and then perform the necessary calculations. This approach is very helpful in math. Great job following along! Keep practicing and you will get better at solving these types of math problems. The skills you've practiced here can be used in everyday situations. Now you can understand the simple math problem. This process builds the critical ability of problem-solving and thinking.

I hope you found this helpful and enjoyed the journey to uncover how much money is in Nigora's piggy bank. Keep practicing math, and never hesitate to ask for help or clarification.

Disclaimer: The value of the new bills was assumed to be 50,000 Sum each for the purposes of this example. If the actual value is different, the total amount will also be different.