Kamil's Electric Scooter Savings: How Much More Does He Need?

Hey guys! Let's break down this math problem about Kamil and his quest for an electric scooter. Kamil's already saved a good chunk of money, and the price even went down! But how much does he actually still need? Let's dive in!

Understanding the Initial Situation

So, Kamil has 810 zł. This amount represents 45% of the original price of the electric scooter he wants. Our first step is to figure out what that original price was. To do this, we can use a simple proportion or think of it as a percentage problem. If 810 zł is 45%, then 1% would be 810 zł divided by 45. And once we know 1%, we can easily find 100% (the original price) by multiplying by 100. Calculating this, we find that 1% is equal to 18 zł (810 / 45 = 18). Therefore, the original price of the scooter was 1800 zł (18 * 100 = 1800). This initial calculation is crucial because it gives us the starting point before the discount is applied. Without knowing the original price, we can't accurately determine the discounted price and how much more Kamil needs. Understanding percentages and how they relate to real-world scenarios like saving for a scooter is a fundamental math skill. This type of problem reinforces the concept of proportions and how they can be used to solve for unknown values. Plus, it's something relatable – we've all been there, saving up for something we really want! It also underlines the importance of understanding the original price before any discounts are applied because it's the basis for all subsequent calculations. This first step ensures we're working with accurate numbers as we move forward in solving the problem. Remember, this whole exercise isn't just about numbers; it's about understanding the relationship between the money Kamil has, the percentage it represents, and the overall cost of his dream scooter.

Calculating the Discounted Price

The problem states that the price of the electric scooter was reduced by 10%. Now that we know the original price was 1800 zł, we can calculate the amount of the discount and then subtract it from the original price to find the new, lower price. A 10% discount means that the price is reduced by 10% of the original amount. To calculate 10% of 1800 zł, we multiply 1800 by 0.10 (which is the decimal equivalent of 10%). This gives us a discount amount of 180 zł (1800 * 0.10 = 180). This means the scooter's price has been reduced by 180 zł. Next, we subtract this discount amount from the original price to find the sale price. So, 1800 zł - 180 zł = 1620 zł. Therefore, the new, discounted price of the electric scooter is 1620 zł. This step is super important because it tells us exactly how much the scooter now costs after the price reduction. Remember, discounts are often used to attract customers and make products more affordable, so understanding how to calculate them is a valuable life skill. Furthermore, understanding discounts helps us make informed purchasing decisions. Knowing how to calculate percentages and apply them to real-world situations like price reductions is a fundamental math skill that extends beyond just solving textbook problems. It's about being a smart and savvy consumer! This is where the problem gets exciting, as the lower price makes Kamil's goal feel more within reach. It is also an illustration of how understanding math is useful in everyday life, from calculating discounts at the store to understanding interest rates on a loan. So, with the discounted price in hand, we're now ready to figure out how much more money Kamil needs to finally get his hands on that electric scooter.

Determining How Much More Kamil Needs

Okay, we know the discounted price of the scooter is 1620 zł, and Kamil already has 810 zł saved up. To figure out how much more he needs, we simply subtract the amount he has saved from the discounted price. So, we do the calculation: 1620 zł (the new price) - 810 zł (Kamil's savings). This gives us a result of 810 zł. Therefore, Kamil still needs 810 zł to buy the electric scooter after the 10% discount. This final calculation is the answer we've been working towards! It tells us exactly how much more effort Kamil needs to put into his savings to achieve his goal. Understanding how to calculate the difference between two amounts is another crucial math skill that applies to many different situations in life. Whether it's figuring out how much more money you need to buy something, how much weight you need to lose to reach a goal, or how much further you need to drive to reach your destination, subtraction is a fundamental operation that helps us make sense of the world around us. It also reinforces the idea of setting financial goals and tracking progress towards them. Saving up for something you want requires discipline and a plan, and this problem illustrates how math can help you stay on track and achieve your objectives. It showcases the practical application of math in managing personal finances, a skill that is valuable for everyone, regardless of age or background. Ultimately, this final step is about bringing all the previous calculations together to arrive at a concrete and meaningful answer. It highlights the importance of accuracy and attention to detail in solving math problems, as a small error in any of the earlier steps could have led to an incorrect final answer. And of course, it celebrates Kamil's progress so far and motivates him to keep saving until he reaches his goal. Good luck, Kamil!

In conclusion, after calculating the original price, the discount, and the remaining amount, we find that Kamil still needs 810 zł to purchase the electric scooter after the price reduction. Way to go Kamil! You're halfway there!