Sandra & Marzhan's Expenses: A Math Problem
Let's break down this math problem step by step, guys! We need to figure out how much money Sandra and Marzhan spent in total. It's like a mini real-life budgeting scenario, which is always a useful skill to practice. We'll use some basic arithmetic operations like multiplication and addition to arrive at the solution. So, grab your thinking caps, and let's dive in!
Sandra's Expenses
First, we need to calculate how much Sandra spent. She bought a pack of disposable cups for 345 tenge. This is a straightforward cost, so we'll just note it down. The core of calculating Sandra's expenses lies in understanding that she also bought nine straws, each costing 5 tenge. To find the total cost of the straws, we need to multiply the number of straws by the cost per straw. So, 9 straws multiplied by 5 tenge per straw gives us the total cost for the straws. This is a fundamental arithmetic operation that we use daily, whether we realize it or not – think about buying multiple items at the store! Once we calculate the cost of the straws, we'll add it to the cost of the cups to get Sandra's total expenses. This step involves simple addition, another crucial skill in everyday math. We are essentially summing up the individual costs to find the overall expenditure. By meticulously calculating each component of Sandra's expenses, we ensure accuracy in our final answer. This approach highlights the importance of breaking down a problem into smaller, manageable parts. So, to recap, we have the cost of the cups, and we need to calculate the cost of the straws and then add them together.
Calculating the Cost of Straws
To calculate the cost of the straws, we'll perform a simple multiplication. We know Sandra bought 9 straws, and each straw cost 5 tenge. So, we multiply 9 by 5. This is a basic multiplication problem, but it's essential to get it right to accurately calculate Sandra's total expenses. Multiplication is a fundamental operation in mathematics, and it's used extensively in various real-life scenarios, from calculating the cost of multiple items to determining areas and volumes. In this case, it helps us find the total cost of the straws. The result of 9 multiplied by 5 is 45. So, the straws cost Sandra 45 tenge. Now that we know the cost of the straws, we can move on to calculating Sandra's total expenses by adding the cost of the straws to the cost of the cups. Remember, the cups cost 345 tenge. By performing this multiplication correctly, we ensure that our subsequent calculations and the final answer are accurate. This step underscores the importance of precision in mathematical calculations. So, the cost of the straws is 45 tenge, and we're ready to add this to the cost of the cups.
Sandra's Total Expenses
Now, let's figure out Sandra's total expenses. We know the cups cost 345 tenge, and the straws cost 45 tenge. To find the total, we simply add these two amounts together: 345 + 45. This addition will give us the total amount Sandra spent. Addition is a fundamental arithmetic operation that we use constantly in our daily lives, whether it's adding up the cost of groceries or calculating the total time spent on various tasks. In this context, it helps us combine the individual costs of the cups and straws to determine Sandra's overall expenditure. Performing this addition correctly is crucial for obtaining an accurate final answer. The sum of 345 and 45 is 390. Therefore, Sandra spent a total of 390 tenge. We've successfully calculated Sandra's expenses by breaking down the problem into smaller steps and performing the necessary arithmetic operations. First, we identified the individual costs, then we calculated the cost of the straws, and finally, we added the costs together. This systematic approach is key to solving mathematical problems accurately and efficiently. So, Sandra's total expenses are 390 tenge. Now, let's move on to calculating Marzhan's expenses.
Marzhan's Expenses
Next, we'll calculate how much Marzhan spent. She bought five spoons, each costing 8 tenge. To find the total cost of the spoons, we'll multiply the number of spoons by the cost per spoon. This is similar to how we calculated the cost of Sandra's straws. Multiplication is a key operation here, helping us determine the total expenditure on the spoons. Additionally, Marzhan bought a pack of napkins for 250 tenge. This is a straightforward cost, just like the cups Sandra bought. To find Marzhan's total expenses, we'll add the cost of the spoons to the cost of the napkins. This step involves addition, another fundamental arithmetic operation. By breaking down Marzhan's purchases into individual items and their respective costs, we can systematically calculate her total expenses. This approach mirrors the process we used for Sandra, highlighting the importance of consistent problem-solving strategies. We'll start by calculating the cost of the spoons, and then we'll add that to the cost of the napkins. This will give us Marzhan's total expenditure.
Calculating the Cost of Spoons
To calculate the cost of the spoons, we need to multiply the number of spoons Marzhan bought by the cost of each spoon. Marzhan bought 5 spoons, and each spoon cost 8 tenge. So, we'll multiply 5 by 8. This is another instance where multiplication comes into play, demonstrating its wide applicability in everyday calculations. Multiplication is the process of finding the product of two or more numbers, and in this case, it helps us determine the total cost of the spoons. The result of 5 multiplied by 8 is 40. So, the spoons cost Marzhan 40 tenge. We've successfully calculated the total cost of the spoons using multiplication. This step is crucial for accurately determining Marzhan's total expenses. Now that we know the cost of the spoons, we can proceed to add it to the cost of the napkins. Remember, the napkins cost 250 tenge. By performing this multiplication correctly, we ensure that our subsequent calculations and the final answer are accurate. So, the cost of the spoons is 40 tenge, and we're ready to add this to the cost of the napkins.
Marzhan's Total Expenses
Now, let's determine Marzhan's total expenses. We know the spoons cost 40 tenge, and the napkins cost 250 tenge. To find the total amount Marzhan spent, we'll add these two amounts together: 40 + 250. This addition will give us Marzhan's total expenditure. Just like with Sandra's expenses, addition plays a crucial role in summing up the individual costs to find the overall total. Addition is a fundamental arithmetic operation that we use daily in various contexts, from managing personal finances to calculating distances and durations. In this scenario, it helps us combine the cost of the spoons and the napkins to determine Marzhan's total spending. Performing this addition accurately is essential for obtaining a correct final answer. The sum of 40 and 250 is 290. Therefore, Marzhan spent a total of 290 tenge. We've successfully calculated Marzhan's expenses by breaking down the problem into smaller steps and performing the necessary arithmetic operations. First, we identified the individual costs, then we calculated the cost of the spoons, and finally, we added the costs together. This systematic approach ensures accuracy and efficiency in our calculations. So, Marzhan's total expenses are 290 tenge. Now that we know both Sandra's and Marzhan's expenses, we can move on to finding out how much they spent together.
Total Expenses
Finally, to find out how much Sandra and Marzhan paid together, we need to add their individual expenses. We already calculated that Sandra spent 390 tenge and Marzhan spent 290 tenge. So, we'll add these two amounts: 390 + 290. This final addition will give us the total amount they both spent. Adding individual expenses to find a total expenditure is a common practice in budgeting and financial management. It helps us understand the overall spending and make informed decisions. In this case, it will tell us the combined cost of all the items Sandra and Marzhan purchased. Performing this addition accurately is crucial for obtaining the correct final answer. The sum of 390 and 290 is 680. Therefore, Sandra and Marzhan spent a total of 680 tenge together. We've successfully solved the problem by breaking it down into smaller, manageable steps and performing the necessary arithmetic operations. First, we calculated Sandra's expenses, then Marzhan's expenses, and finally, we added their expenses together. This systematic approach highlights the importance of clear problem-solving strategies in mathematics. So, Sandra and Marzhan spent a total of 680 tenge together.
Solution
So, guys, after carefully calculating each person's expenses and then adding them together, we've found that Sandra and Marzhan spent a total of 680 tenge. We did it! This problem highlights how we use math in everyday situations, from buying disposable cups and straws to managing our expenses. Breaking down the problem into smaller steps, like calculating individual costs and then adding them up, made it much easier to solve. Remember, math isn't just about numbers; it's about solving real-world problems and making informed decisions. Keep practicing, and you'll become math whizzes in no time!