Land Purchase Problem: How Much Money Does Yessica Still Need?

Hey guys! Let's break down this math problem about Yessica's dream of buying a plot of land. It sounds a bit tricky at first, but we'll get through it together, step by step. We'll look at what she has, what she still needs, and how much she gets closer to her goal after securing some additional funds. So, let's jump in and figure out exactly how much more money Yessica needs to make her land-buying dream a reality! Understanding each step is important, so we’ll explain the fractions and amounts clearly. Let’s get started!

Understanding the Initial Situation

Okay, so first things first, Yessica has her eyes on a piece of land that costs S/.36,000. That’s the total amount she needs. But here’s the catch: she doesn’t have the full amount yet. In fact, she only has 5/9 of the total cost. Let's figure out exactly how much money that is. To do this, we need to calculate what 5/9 of S/.36,000 actually means in terms of real money. We can do this by multiplying the fraction (5/9) by the total cost (S/.36,000). This calculation will tell us the amount Yessica currently has. So, grab your calculators, or if you’re feeling like a math whiz, do it by hand! This is the crucial first step in figuring out how far away Yessica is from achieving her goal. Once we know how much she has, we can then figure out the difference between that amount and the total cost of the land. This difference will tell us exactly how much money Yessica is still short. Remember, in math problems like this, breaking it down into smaller, manageable steps is the key to success. So, let's tackle this first step and then move on to the next part of the problem. Are you guys ready to crunch some numbers and help Yessica out? Let’s do it!

Calculating Yessica's Initial Savings

Alright, let's put our math hats on and figure out how much money Yessica actually has saved up. As we mentioned earlier, she has 5/9 of the total cost of the land, which is S/.36,000. To find out the exact amount, we need to multiply these two figures together. So, we're doing the calculation: (5/9) * S/.36,000. When you multiply a fraction by a whole number, it's like finding a part of that whole number. In this case, we're finding 5/9 of S/.36,000. You can do this in a couple of ways. One way is to first divide S/.36,000 by 9, which will give you the value of 1/9 of the total cost. Then, you multiply that result by 5 to get the value of 5/9. Another way is to multiply 5 by S/.36,000 first, and then divide the result by 9. Either way, you should arrive at the same answer. So, let's get calculating! What's 5/9 of S/.36,000? Once we have this number, we'll know exactly how much Yessica has managed to save so far. This is a really important step because it sets the stage for the rest of the problem. We need to know her starting point before we can figure out how much more she needs and how much closer she gets after her next financial boost. So, no pressure, but let's make sure we get this calculation right! Are you guys getting your calculators warmed up? Let's crack this one!

Determining the Remaining Amount

Now that we've figured out how much Yessica has (which is S/.20,000, by the way!), the next crucial step is to find out how much money she still needs to buy the land. Remember, the land costs S/.36,000 in total. To find the remaining amount, we need to do a little subtraction. We'll take the total cost of the land (S/.36,000) and subtract the amount Yessica already has (S/.20,000). This will give us the difference, which represents the amount of money Yessica is still short. Think of it like this: she's got a puzzle to complete, and the puzzle is buying the land. She's already put some pieces together (her savings), but there are still some pieces missing (the remaining amount). So, what's the calculation we need to do? It's S/.36,000 - S/.20,000. This is a straightforward subtraction problem, but it's a really important one. It tells us exactly how far away Yessica is from reaching her goal. Once we know the remaining amount, we can then start looking at the next part of the problem: how she manages to get some more money and how that affects the overall amount she still needs. So, let's get that subtraction done and see how much more Yessica needs to save. This is like a financial countdown – we're figuring out the final hurdle she needs to clear to own that land! Let's get to it, guys!

Calculating the Additional Funds

Okay, so we know Yessica is still short S/.16,000. But here’s some good news! She manages to get an additional 1/4 of what she was missing. That's awesome! But how much money is that exactly? To figure this out, we need to calculate 1/4 of S/.16,000. Just like we did before when calculating her initial savings, we're dealing with a fraction of a whole number. In this case, the whole number is the amount she was missing (S/.16,000), and we want to find 1/4 of that. To do this, we can simply divide S/.16,000 by 4. Dividing by 4 is the same as finding one-quarter, so this calculation will give us the amount of extra money Yessica gets. This is like a mini-victory for Yessica! She's chipping away at that remaining amount and getting closer to her goal. But we need to know exactly how much this extra chunk of money is so we can update our calculations. Once we know how much she got, we can subtract that from the remaining amount to see how much she still needs. So, let's get to it! What is 1/4 of S/.16,000? Get those calculators ready, or put on your mental math hats! This is a key step in solving the problem, so let's make sure we get it right. Every little bit counts when you're saving up for something big, and this extra amount is definitely going to help Yessica out.

Determining the Final Amount Needed

Alright, guys, we’re in the home stretch now! We know Yessica initially needed S/.16,000, and she managed to get an extra S/.4,000 (which is 1/4 of S/.16,000). So, the final question is: how much money does she still need to buy the land? To find this out, we need to subtract the additional funds she got (S/.4,000) from the amount she was initially missing (S/.16,000). This calculation will give us the final answer, the amount that Yessica still needs to save. Think of it like a countdown. We started with the total cost of the land, then subtracted her initial savings, then figured out how much more she got, and now we're making the final subtraction to see how much is left on the counter. This is the moment of truth! This final amount is the last hurdle Yessica needs to overcome to achieve her dream of owning that plot of land. So, let's get this calculation done and see what that final number is. What is S/.16,000 minus S/.4,000? Once we have that answer, we'll have solved the problem and we'll know exactly how much more Yessica needs. Let's do it! We're almost there, guys!

Final Answer

So, after all the calculations, we arrive at the final answer: Yessica still needs S/.12,000 to buy the land. We started by figuring out her initial savings, then the amount she was missing, then the additional funds she acquired, and finally, we subtracted those funds to find out the remaining amount. It was a journey through fractions and subtraction, but we made it! This problem highlights the importance of breaking down complex situations into smaller, more manageable steps. By taking it one step at a time, we were able to clearly see the path to the solution. And hey, we helped Yessica figure out her finances! Hopefully, with a little more saving, she'll be able to buy her dream plot of land. Math can be pretty useful in real life, right? You guys did an awesome job following along and working through this problem. Give yourselves a pat on the back! Now, you’re ready to tackle similar challenges with confidence. Remember, practice makes perfect, so keep those math skills sharp!