Fun Math Problem: Cole's Ninjagos

Today, we will solve a fun math problem involving Cole's collection of shiny Ninjagos. These Ninjagos are not only fun toys but also a great way to practice problem-solving using basic mathematical concepts. Let's dive into the problem and see how we can use fractions and remainders to find the solution.

The Problem

Cole has a collection of 18 shiny Ninjagos. He gave one-third of them to Vlad. Then he gave one-half of the remaining ones to Gene. How many Ninjagos did Cole have left?

Step-by-Step Solution

Let's break down the problem into manageable steps:

First, we need to find out how many Ninjagos Cole gave to Vlad. If one-third of 18 Ninjagos were given to Vlad, we can calculate this by dividing 18 by 3:

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18 ÷ 3 6

So, Cole gave 6 Ninjagos to Vlad.

Next, let's determine how many Ninjagos Cole had left after giving some to Vlad. We can calculate this by subtracting the 6 Ninjagos Cole gave to Vlad from the original 18 Ninjagos:

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18 - 6 12

Thus, Cole had 12 Ninjagos left after giving some to Vlad.

Now, Cole gave one-half of the remaining Ninjagos to Gene. To find out how many Ninjagos Cole gave to Gene, we divide the remaining Ninjagos by 2:

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12 ÷ 2 6

So, Cole gave 6 Ninjagos to Gene.

Finally, to find out how many Ninjagos Cole had left, we subtract the Ninjagos given to Gene from the Ninjagos left after giving to Vlad:

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12 - 6 6

Therefore, Cole had 6 Ninjagos left.

Understanding the Solution

Now that we have solved the problem, let's understand it in terms of fractions and remainders:

We started with 18 Ninjagos. One-third of 18 is 6, so Cole gave 6 Ninjagos to Vlad. This leaves us with 12 Ninjagos.

Next, one-half of the remaining 12 Ninjagos is 6, so Cole gave 6 Ninjagos to Gene. This means he has 6 Ninjagos left.

Key Takeaways

This problem teaches us about:

Using fractions to represent parts of a whole.

Using remainders to find out what's left after performing calculations.

The practical application of math in solving real-life problems.

Interactive Practice

To further reinforce your understanding of fractions and remainders, try the following interactive practice problems:

If you have 24 oranges and you give away one-third of them, how many oranges do you have left?

If you have 36 candies and you give away half of them, then give away one-third of the remaining candies, how many candies do you have left?

If you have 45 stickers and you give away one-fifth of them, then give away one-half of the remaining stickers, how many stickers do you have left?

Practice these problems to solidify your understanding of fractions and remainders.

Conclusion

By solving problems like the one involving Cole's Ninjagos, we can improve our skills in math and develop a better understanding of fractions and remainders. These concepts are essential in everyday life and in various fields such as finance and engineering. Keep practicing and exploring math to enhance your problem-solving abilities!