Calculating Total Purchase Cost: Grapes And Oranges

by SLV Team 52 views

Hey guys! Let's break down this math problem about Victor's fruit shopping trip. We need to figure out how much he spent in total on grapes and oranges. It's a pretty straightforward calculation, and we'll walk through it step-by-step. So, grab your calculators (or just your thinking caps!) and let's dive in!

Understanding the Problem

The problem states that Victor bought two types of fruit: grapes and oranges. We know the quantity he bought of each fruit and the price per kilogram. To find the total cost, we need to calculate the cost of the grapes, the cost of the oranges, and then add those two amounts together. It's like figuring out your grocery bill – you add up the price of each item to get the total!

Specifically, the problem tells us:

  • Victor bought 4.5 kg of grapes at S/.6 per kg.
  • He also bought 4.8 kg of oranges at S/.1.92 per kg.

Our mission is to find the total amount Victor spent. We'll break it down into smaller steps to make it super clear. Think of it like building a LEGO masterpiece – each brick (or calculation) is important to the final result. First, we'll tackle the grapes, then the oranges, and finally, the grand total!

Calculating the Cost of Grapes

Alright, let's figure out how much Victor spent on those grapes. He bought 4.5 kg, and each kilogram cost S/.6. To find the total cost, we need to multiply the quantity (4.5 kg) by the price per kilogram (S/.6). This is a classic example of where multiplication comes in handy in everyday life. Imagine you're buying multiple items at the store – you do the same thing in your head (or maybe on your phone calculator!).

So, the calculation looks like this:

Cost of grapes = 4.5 kg * S/.6/kg

Now, let's do the math. You can use a calculator, do it by hand, or even ask your smart speaker (if you have one!). The answer is:

Cost of grapes = S/. 27

That means Victor spent S/. 27 on grapes. We've conquered the first part of the problem! We're one step closer to finding the total cost. Now, let's move on to the oranges and see how much those cost him.

Calculating the Cost of Oranges

Next up, we need to calculate the cost of the oranges. Victor bought 4.8 kg of oranges, and they cost S/.1.92 per kg. Just like with the grapes, we'll use multiplication to find the total cost. We're multiplying the quantity (4.8 kg) by the price per kilogram (S/.1.92). Think of it like this: if one orange costs a certain amount, and you're buying a bunch of them, you multiply the price of one by the number you're buying.

The calculation for the cost of oranges is:

Cost of oranges = 4.8 kg * S/.1.92/kg

Time to crunch the numbers! This one might be a little trickier to do in your head, so feel free to grab a calculator. The result is:

Cost of oranges = S/. 9.216

Now, here's a little something to keep in mind. Since we're talking about money, we usually round to two decimal places (cents). So, S/. 9.216 becomes S/. 9.22 (we round up because the third decimal place is 6, which is greater than or equal to 5). So, Victor spent approximately S/. 9.22 on oranges. We're making progress! We know how much he spent on grapes and how much he spent on oranges. What's the final step?

Calculating the Total Cost

We're in the home stretch! We know Victor spent S/. 27 on grapes and approximately S/. 9.22 on oranges. To find the total amount he spent, we simply need to add these two amounts together. This is the final piece of the puzzle – the grand total of his fruit shopping spree! Think of it like adding up the individual items on your grocery receipt to see how much you owe at the checkout.

The calculation for the total cost is:

Total cost = Cost of grapes + Cost of oranges

Total cost = S/. 27 + S/. 9.22

Now, let's do the addition. This one is pretty easy to do in your head, but you can always use a calculator if you prefer. The answer is:

Total cost = S/. 36.22

So, Victor spent a total of S/. 36.22 on his purchase of grapes and oranges. We did it! We successfully solved the problem by breaking it down into smaller, manageable steps. We calculated the cost of the grapes, the cost of the oranges, and then added them together to find the total. Give yourselves a pat on the back – you've earned it!

Final Answer and Summary

The final answer is: Victor spent S/. 36.22 on the purchase of grapes and oranges.

Let's quickly recap how we got there:

  1. We understood the problem: We identified that we needed to find the total cost of grapes and oranges, given the quantity and price per kilogram of each.
  2. We calculated the cost of grapes: We multiplied the quantity of grapes (4.5 kg) by the price per kg (S/.6) to get S/. 27.
  3. We calculated the cost of oranges: We multiplied the quantity of oranges (4.8 kg) by the price per kg (S/.1.92) to get S/. 9.216, which we rounded to S/. 9.22.
  4. We calculated the total cost: We added the cost of grapes (S/. 27) and the cost of oranges (S/. 9.22) to get S/. 36.22.

We've successfully navigated this problem using basic arithmetic principles. Remember, breaking down complex problems into smaller steps can make them much easier to solve. This approach is not only useful in math but also in many other areas of life. So, the next time you're faced with a challenging task, remember Victor's fruit shopping trip and try breaking it down! Great job, everyone!