Задача: Сколько Денег Потратили Санжар И Маржан?

by SLV Team 49 views

Hey guys! Let's break down this math problem step by step. We've got Sanjar buying cups and Marzhan buying spoons, and we need to figure out how much they spent in total. This is a classic example of a word problem that requires us to use basic arithmetic – multiplication and addition – to arrive at the solution. Don't worry, we'll make it super clear and easy to understand.

Analyzing Санжар's расходы

So, Sanjar bought a pack of disposable cups. Specifically, he bought two packs, and each of those packs cost him 5 tenge. To figure out Sanjar's total spending, we need to multiply the number of packs by the cost per pack. This is a fundamental concept in mathematics: when you have multiple identical items, you multiply the quantity by the price to find the total cost.

Here’s the breakdown:

  • Number of packs: 2
  • Cost per pack: 5 tenge

To calculate the total cost, we perform the following calculation:

Total cost for Sanjar = Number of packs × Cost per pack
Total cost for Sanjar = 2 × 5
Total cost for Sanjar = 10 tenge

Therefore, Sanjar spent a total of 10 tenge on the disposable cups. This simple multiplication gives us the exact amount Sanjar shelled out. Now that we've figured out Sanjar's expenses, let's move on to Marzhan and see what she bought.

Вычисляем расходы Маржан

Next up, we have Marzhan. She bought 5 spoons, and each spoon cost 8 tenge. However, there's also an extra bit of information: Marzhan spent a total of 250 tenge. It seems there might be an error in the problem statement, as we only have the cost per spoon and the total spent. This kind of information requires careful attention to detail in mathematics. It is crucial to identify what information is needed and what might be extra or potentially incorrect.

Let's first calculate how much Marzhan should have spent on the spoons:

  • Number of spoons: 5
  • Cost per spoon: 8 tenge

Using the same principle as before, we multiply the number of spoons by the cost per spoon:

Cost of spoons = Number of spoons × Cost per spoon
Cost of spoons = 5 × 8
Cost of spoons = 40 tenge

Based on this calculation, Marzhan should have spent 40 tenge on the spoons. However, the problem states she spent 250 tenge in total. This discrepancy indicates either additional purchases that weren't mentioned or a mistake in the problem's details. This highlights an important aspect of problem-solving: identifying inconsistencies and questioning the given information when necessary**.

Since we are focusing on the information directly related to the spoons for a fair comparison with Sanjar’s purchase, we'll consider Marzhan's spending on spoons as 40 tenge. Keep this in mind as we move forward to calculate the total spending.

Total потраченные деньги

Alright, we've figured out how much Sanjar and Marzhan spent individually. Now, the final step is to calculate their total combined spending. This is where we add up the amounts each of them spent. Addition is one of the most fundamental arithmetic operations, and it's key to solving many real-world problems, like this one.

We know:

  • Sanjar spent 10 tenge.
  • Marzhan spent 40 tenge (based on the spoon calculation).

To find the total amount, we simply add these two amounts together:

Total spent = Sanjar's spending + Marzhan's spending
Total spent = 10 tenge + 40 tenge
Total spent = 50 tenge

So, together, Sanjar and Marzhan spent a total of 50 tenge. This is the final answer to our problem. By breaking the problem down into smaller parts, calculating individual expenses, and then combining them, we’ve successfully solved it.

Итоги и ключевые выводы

Let's recap what we've done, guys! We started with a word problem about Sanjar buying cups and Marzhan buying spoons. Our mission was to find the total amount they spent together. We approached this by:

  1. Analyzing Sanjar's expenses: We multiplied the number of packs of cups by the cost per pack to find Sanjar's total spending (10 tenge).
  2. Calculating Marzhan's expenses: We multiplied the number of spoons by the cost per spoon to find how much Marzhan spent on spoons (40 tenge). We also noted a discrepancy in the problem, where Marzhan's total spending was stated as 250 tenge, highlighting the importance of critical evaluation of given data.
  3. Finding the total spending: We added Sanjar's spending to Marzhan's spending to get the combined total (50 tenge).

Through this process, we not only solved the problem but also reinforced some important mathematical and problem-solving skills. We used multiplication and addition, we paid attention to detail, and we identified a potential inconsistency in the given information. These skills are crucial not just for math class, but for tackling real-life situations as well. Remember, breaking down complex problems into simpler steps often makes them much easier to handle.

So, there you have it! Sanjar and Marzhan spent 50 tenge together. Hope this explanation was clear and helpful. Keep practicing those math skills, and you'll be a problem-solving pro in no time!