Mangoes & Notebooks: Math Problems Solved Step-by-Step

by SLV Team 55 views

Hey guys! Let's dive into some word problems and break them down together. We've got two problems here, one about mangoes and another about notebooks. We'll solve them step-by-step so you can see exactly how to get to the answer. So, grab your thinking caps, and let's get started!

1. The Mango Mystery: How Many Remain?

Okay, let's tackle the mango problem first. Our main keywords here are mangoes, divided, children, eats, and remain. This tells us it's a division and subtraction problem. Imagine a basket overflowing with juicy mangoes! Now, let’s break down the problem:

A basket has 48 mangoes. They are divided equally among 6 children, then each child eats 2 mangoes. How many mangoes remain?

Understanding the Problem

First, we need to figure out how many mangoes each child gets. This involves division. Then, we need to subtract the number of mangoes eaten to find out how many are left. This involves subtraction. Simple enough, right?

Step-by-Step Solution

  1. Divide the mangoes: We have 48 mangoes and 6 children. So, we divide the total mangoes by the number of children: 48 mangoes / 6 children = 8 mangoes per child.

    • So, each child initially gets 8 mangoes. That’s a good start! Now, what happens next?

  2. Calculate the eaten mangoes: Each child eats 2 mangoes. Since there are 6 children, we multiply the number of children by the mangoes eaten per child: 6 children * 2 mangoes/child = 12 mangoes eaten in total.

    • Okay, the kids are enjoying their mangoes! But we need to know how many are left.

  3. Subtract to find the remaining mangoes: We started with 48 mangoes, and 12 were eaten. So, we subtract the eaten mangoes from the total: 48 mangoes - 12 mangoes = 36 mangoes.

    • Therefore, there are 36 mangoes remaining. Hooray, we solved it!

Why This Works

This problem uses two basic math operations: division and subtraction. The key is to break the problem down into smaller, manageable steps. We first divided to see how many each child received, and then we subtracted to find the final amount. See? Math isn't so scary when you take it one step at a time.

This mango problem highlights the importance of understanding the sequence of operations. We needed to divide before we could subtract. This is a crucial concept in math, and mastering it will help you tackle all sorts of problems. Imagine trying to subtract before you divide – you'd get a totally wrong answer! So, remember, the order matters!

2. Carlo's Cash: Notebooks and Leftovers

Alright, let's move on to our next problem, this time featuring Carlo and his cash. Our main keywords here are pesos, notebooks, bought, and remain. This looks like another subtraction problem, but maybe with a little multiplication thrown in for good measure. Let's see!

Carlo had 120 pesos. He bought 2 notebooks at 25 pesos each. How much money remained?

Understanding the Problem

Carlo starts with some money, spends some on notebooks, and we want to know how much he has left. To figure this out, we first need to calculate the total cost of the notebooks. This involves multiplication. Then, we'll subtract that cost from his initial amount to find the remaining money. Sound good?

Step-by-Step Solution

  1. Calculate the total cost of the notebooks: Carlo bought 2 notebooks at 25 pesos each. So, we multiply the number of notebooks by the cost per notebook: 2 notebooks * 25 pesos/notebook = 50 pesos.

    • Okay, the notebooks cost 50 pesos in total. Now we need to subtract that from Carlo's starting money.

  2. Subtract to find the remaining money: Carlo started with 120 pesos and spent 50 pesos. We subtract the cost of the notebooks from his initial amount: 120 pesos - 50 pesos = 70 pesos.

    • Therefore, Carlo has 70 pesos remaining. Nicely done!

Why This Works

Just like the mango problem, this one involves multiple steps. We had to first multiply to find the total cost and then subtract to find the remaining amount. The key here is to identify the relationship between the different pieces of information.

Carlo's problem is a great example of how math is used in everyday life. Think about it: we all manage our money in similar ways. We have an initial amount, we spend some, and we want to know how much we have left. This is basic budgeting, and understanding these types of problems can really help you in the real world. Learning to calculate expenses and remaining funds is a valuable life skill!

Key Takeaways

So, what did we learn today, guys? We conquered two word problems, one involving mangoes and the other involving notebooks. We used division, subtraction, and multiplication to find our answers. The most important thing to remember is to break down the problem into smaller steps and think about what each step represents.

  • Read the problem carefully: Make sure you understand what's being asked.
  • Identify the key information: What numbers and keywords are important?
  • Choose the right operations: Will you need to add, subtract, multiply, or divide?
  • Solve step-by-step: Break the problem down into smaller, manageable chunks.
  • Check your answer: Does your answer make sense in the context of the problem?

By following these steps, you can tackle any word problem that comes your way! And remember, practice makes perfect. The more problems you solve, the better you'll become at it. So keep practicing, and you'll be a math whiz in no time!

Practice Makes Perfect

Word problems can seem tricky at first, but with practice, they become much easier. The key is to understand the underlying concepts and to develop a systematic approach to solving them. Don't be afraid to draw pictures, use manipulatives, or even act out the problem to help you visualize what's going on. Sometimes, a visual representation can make a big difference in understanding the problem.

Also, don't be afraid to ask for help. If you're stuck on a problem, talk to your teacher, a classmate, or a family member. Explaining the problem to someone else can often help you clarify your thinking and see the solution more clearly. Remember, learning math is a journey, and it's okay to stumble along the way. The important thing is to keep trying and to keep learning.

And that’s a wrap for today’s math adventure! We hope you found these solutions helpful and that you feel more confident tackling word problems. Keep practicing, keep learning, and most importantly, keep having fun with math! Until next time, guys!