Calculate Orange Juice Price With Discount: 3L Guide

Hey guys! Ever found yourself staring at a grocery store shelf, trying to figure out the best deal on orange juice? It can be a bit tricky, especially when discounts come into play. So, let’s break down how to calculate the price of buying 3L of orange juice when there's a sweet discount involved. We’ll use a real-world example: 1.5L of orange juice costs €3.90, and there’s a 70% discount on the second item. Let’s dive in and make sure we're getting the best bang for our buck!

Understanding the Problem

First off, let’s make sure we understand the problem. We need to figure out how much 3L of orange juice will cost. The store is selling 1.5L bottles for €3.90, and they’re offering a 70% discount on the second bottle. This means if we buy two bottles, the second one will be significantly cheaper. But how does this work when we need 3L? We’ll need to buy more than one bottle, so the discount is definitely something we want to factor in. To really get this, let's consider the core components:

• The price of a single 1.5L bottle: €3.90
• The discount on the second bottle: 70%
• The total amount we need: 3L

Now, let’s think about how many bottles we’ll need to buy. Since each bottle is 1.5L, we’ll need two bottles to get our 3L (1.5L x 2 = 3L). This is crucial because the discount applies to the second bottle, which changes the math a bit. We're not just paying full price for everything; we're getting a deal, and we want to calculate exactly how much that deal saves us. Understanding these details upfront makes the rest of the calculation much smoother and helps us avoid overspending. So, let's get calculating and make sure we're juice-buying pros!

Step 1: Determine the Number of Bottles Needed

Okay, so the first thing we need to figure out is how many 1.5L bottles of orange juice we need to buy to reach our 3L goal. This might seem super simple, but it’s a crucial step. We don’t want to end up short on juice, or worse, buy way more than we need and have it go to waste! So, let's do the math. We know we need 3L of orange juice, and each bottle contains 1.5L. To find out how many bottles we need, we can divide the total amount of juice we want (3L) by the amount in each bottle (1.5L). This gives us a simple equation:

Number of bottles = Total liters needed / Liters per bottle

Plugging in our numbers, we get:

Number of bottles = 3L / 1.5L = 2 bottles

So, there you have it! We need to buy two 1.5L bottles to get the 3L of orange juice we’re aiming for. This is important because now we know we'll be able to take advantage of that 70% discount on the second bottle. If we only needed 1.5L, we wouldn't get the discount, and our calculation would be much simpler. But since we’re buying two, we need to keep that discount in mind as we figure out the total cost. Knowing we need two bottles sets us up perfectly for the next step, where we’ll calculate how much that discount saves us. Let's keep rolling!

Step 2: Calculate the Discounted Price

Alright, now that we know we need two bottles, let's tackle the fun part: figuring out how much that 70% discount is going to save us! Discounts can sometimes feel like a math puzzle, but don't worry, we'll crack it together. The discount applies to the second bottle, so we need to calculate 70% off the original price of €3.90. To do this, we first need to find out what 70% of €3.90 actually is. We can convert the percentage into a decimal by dividing by 100:

70% = 70 / 100 = 0.70

Now, we multiply this decimal by the original price of the bottle:

Discount amount = 0.70 * €3.90

Let's do the math:

Discount amount = €2.73

So, the discount on the second bottle is €2.73. This is how much we're saving on that second bottle compared to the original price. But remember, this isn't the final price of the discounted bottle; it's just the amount we're saving. To find the actual price we'll pay for the second bottle, we need to subtract this discount from the original price. This will give us a clear picture of how much cheaper that second bottle is, and it’s a key step in calculating the total cost of our 3L of orange juice. Let's move on to the next calculation to get the final price of the discounted bottle!

Step 3: Determine the Price of the Discounted Bottle

Okay, we've figured out that the discount amount on the second bottle is €2.73. Now, let's find out the actual price we'll pay for that second bottle after the discount is applied. This is super important because it tells us exactly how much cheaper the second bottle is compared to the first. To do this, we'll subtract the discount amount (€2.73) from the original price of the bottle (€3.90). Here’s the equation:

Price of discounted bottle = Original price - Discount amount

Plugging in our numbers, we get:

Price of discounted bottle = €3.90 - €2.73

Let's do the subtraction:

Price of discounted bottle = €1.17

Wow! So, the second bottle, after the 70% discount, will only cost us €1.17. That's a significant saving! Now we know that the first bottle costs €3.90, and the second bottle costs €1.17. We're in the home stretch now. The next step is to add these prices together to find the total cost of buying our 3L of orange juice. This will give us the final number we’re looking for and let us know exactly how much we'll be spending at the checkout. Let’s head to the final calculation!

Step 4: Calculate the Total Cost

Alright, we're on the final stretch! We know the price of the first bottle (€3.90) and the price of the discounted second bottle (€1.17). Now, all that’s left to do is add these two prices together to find the total cost of our 3L of orange juice. This is the moment of truth – the number that tells us exactly how much we'll be paying. So, let's get to it!

To calculate the total cost, we simply add the price of the first bottle to the price of the second bottle:

Total cost = Price of first bottle + Price of discounted bottle

Plugging in our numbers, we get:

Total cost = €3.90 + €1.17

Let's add them up:

Total cost = €5.07

And there you have it! The total cost for 3L of orange juice, with the 70% discount on the second bottle, is €5.07. We’ve successfully navigated the discount and figured out the final price. This is super useful knowledge for any shopping trip, and it helps us make sure we're getting the best deals possible. Now we can confidently head to the checkout knowing we've got the right amount of juice at the best price. High five for conquering that math problem! But, to really nail this down, let's do a quick recap to make sure we’ve got all the steps clear.

Step 5: Review and Final Answer

Okay, let’s take a quick breather and recap what we’ve done. We started with a seemingly simple question: How much will 3L of orange juice cost if 1.5L costs €3.90 and there's a 70% discount on the second item? But as we saw, there were a few steps involved to get to the final answer. Reviewing these steps is crucial to ensure we understand the process and can apply it to similar problems in the future.

Here’s a quick rundown of what we did:

1. Determined the number of bottles needed: We figured out that we needed two 1.5L bottles to get our 3L of orange juice.
2. Calculated the discount amount: We found that 70% of €3.90 is €2.73.
3. Determined the price of the discounted bottle: By subtracting the discount amount from the original price, we found the second bottle would cost €1.17.
4. Calculated the total cost: We added the price of the first bottle (€3.90) to the price of the discounted bottle (€1.17) to get a total of €5.07.

So, after walking through each step, we've arrived at our final answer:

The total cost to buy 3L of orange juice is €5.07.

Woohoo! We did it! By breaking down the problem into smaller, manageable steps, we were able to tackle the discount and calculate the final price with confidence. This kind of problem-solving is super useful in everyday life, not just for buying orange juice. Whether it's calculating sale prices, splitting bills, or figuring out the best deals, these skills will come in handy. So, next time you’re faced with a similar challenge, remember these steps, and you'll be a math whiz in no time! And remember, practice makes perfect. The more you work through these kinds of problems, the easier they become. Now, let’s celebrate our success with a glass of (affordable) orange juice!