Josivan's Headphone Savings Math Problem Solved

Hey guys! Let's dive into a fun math problem about Josivan, who's saving up to buy a cool new pair of headphones. To crack this, we'll need to put on our math hats and figure out the total amount Josivan has saved. We're given that he has three R$ 20.00 bills, three R$ 5.00 bills, and two R$ 2.00 bills. Our mission is to calculate the total cost of the headphones Josivan is aiming to buy. Let's break it down step by step!

Breaking Down Josivan's Savings

First off, let's tackle the R$ 20.00 bills. Josivan has three of these, so we need to multiply the value of one bill (R$ 20.00) by the number of bills he has (3). This is a straightforward multiplication problem: 20 * 3. When we do the math, we find that three R$ 20.00 bills add up to R$ 60.00. So, just from the R$ 20.00 bills alone, Josivan has a solid start to his savings. It's pretty cool how quickly these larger denominations can add up, right? This initial calculation gives us a significant chunk of the total amount, showing the impact of saving with larger bills. Keep in mind, saving money is like building a tower – every little bit counts, but the bigger blocks definitely speed things up! Plus, understanding this part helps us appreciate how much Josivan has already saved, making the rest of our calculation even more exciting. We're one step closer to figuring out the final price of those headphones!

Next up, we need to calculate the total value of the R$ 5.00 bills. Josivan has three of these as well, so we'll perform a similar calculation. We multiply the value of one R$ 5.00 bill by the number of bills, which is 3. So, we're looking at 5 * 3. This multiplication is nice and easy – it gives us R$ 15.00. That's the total amount Josivan has saved just from his R$ 5.00 bills. Now, we're adding this to the amount we already figured out from the R$ 20.00 bills. It's like we're stacking up Josivan's savings, piece by piece. Each set of bills contributes to the final goal, and it's awesome to see how each denomination plays a part. This step is crucial because it shows us the contribution of mid-range bills to Josivan’s total savings. Sometimes, we focus so much on the big numbers, but these smaller amounts really make a difference too! As we keep adding these amounts together, we're getting closer and closer to finding out the price of those headphones Josivan's been eyeing.

Now, let's figure out the value of the R$ 2.00 bills. Josivan has two of these, so we need to multiply R$ 2.00 by 2. This is another simple calculation: 2 * 2 equals 4. So, Josivan has saved R$ 4.00 in R$ 2.00 bills. Even though this might seem like a smaller amount compared to the R$ 20.00 and R$ 5.00 bills, it's still an important part of his savings! Every little bit counts when you're trying to reach a goal, and these R$ 2.00 bills are proof of that. They might not seem like much on their own, but they add up and get Josivan closer to buying his headphones. We've now calculated the value of each type of bill Josivan has, and we're ready to put it all together. Think of it like this: we've collected all the ingredients, and now we're ready to bake the cake – or, in this case, figure out the total cost of the headphones! It’s amazing how these smaller contributions can make a significant impact when combined. Let's move on to the final step and see what the headphones cost!

Calculating the Total Cost

Alright, we've done the individual calculations, and now it's time to add everything up to find the total cost of the headphones. We know Josivan has R$ 60.00 from the R$ 20.00 bills, R$ 15.00 from the R$ 5.00 bills, and R$ 4.00 from the R$ 2.00 bills. To get the total, we need to add these three amounts together: 60 + 15 + 4. Let's do it step by step. First, we add 60 and 15, which gives us 75. Then, we add 4 to 75, which gives us 79. So, the total amount Josivan has saved is R$ 79.00. Woo-hoo! We've cracked the code! This is super cool because it shows us the power of adding different amounts together to reach a goal. Josivan's savings journey is a perfect example of how every little bit contributes to the final total. By combining the values of different bills, we were able to determine the exact amount he has saved. Now, we know that the headphones Josivan wants to buy cost R$ 79.00. Great job, team! We nailed it!

Answering the Question

So, after all our calculations, we've arrived at the answer. The question was: What is the price of the headphones that Josivan wants to buy? We figured out that Josivan has saved a total of R$ 79.00. Therefore, the price of the headphones he wants to buy is R$ 79.00. Unfortunately, this amount isn't listed in the options provided (A) R$ 77.00, (B) R$ 78.00, and (C) R$ 81.00. It seems there might be a slight discrepancy in the options, but our calculations clearly show that the headphones cost R$ 79.00 based on Josivan's savings. This highlights the importance of double-checking our work and recognizing that sometimes, the provided options might not be accurate. But hey, we did the math right, and that's what matters! We broke down the problem, calculated each part, and put it all together to find the answer. It’s a fantastic feeling when you can confidently solve a problem like this, knowing you’ve got the right approach. So, even though the answer isn't directly available in the choices, we know we've done our job in figuring out the correct price. Awesome work, everyone!

What is the price of the headphones Josivan wants to buy if he has three R$ 20.00 bills, three R$ 5.00 bills, and two R$ 2.00 bills?