Flower Math Puzzle: How Many Did Valya Get?

Hey everyone! Let's dive into a fun math problem perfect for the spirit of International Women's Day! This problem involves some thoughtful boys, lovely girls, and a bunch of flowers. Get ready to put on your thinking caps, and let's figure out this floral mystery together!

The Flower Problem: Unraveling the Mystery

Okay, guys, here's the setup. In a certain club, there are 17 energetic boys and 7 charming girls. It's the 8th of March, International Women's Day, and the boys want to do something special for the girls. Each of the 17 boys thoughtfully brings 3 flowers to gift to the girls. Now, here's the twist: Each girl, except for one special girl named Valya, receives exactly 5 flowers. The big question we need to answer is: How many flowers did Valya receive? To solve this, we need to carefully consider the total number of flowers, how they were distributed, and then use a bit of deduction to figure out Valya's share. This problem combines basic arithmetic with a touch of logical thinking, making it a great exercise for our brains!

Breaking Down the Problem: A Step-by-Step Approach

To solve this effectively, let's break the problem down into smaller, more manageable steps. This will make the entire process clearer and help us avoid any confusion along the way. Our initial step is to determine the total number of flowers brought by the boys. Since there are 17 boys and each boy brought 3 flowers, we can easily calculate the total by multiplying these two numbers. This will give us the overall pool of flowers that were available for gifting.

Next, we need to figure out the number of flowers received by the 6 girls who each got 5 flowers. Remember, one girl, Valya, received a different number of flowers, so we need to account for the others first. We can calculate this by multiplying the number of girls who received 5 flowers by 5. This will give us the total number of flowers distributed among these 6 girls.

Finally, with the total number of flowers and the number of flowers received by the 6 girls, we can calculate the number of flowers Valya received. This can be done by subtracting the total flowers received by the 6 girls from the overall total number of flowers. The remaining number will be the flowers that were given to Valya. By following these steps, we'll systematically work our way to the solution and unveil the number of flowers Valya received.

Calculating the Total Flowers: A Simple Multiplication

Let's start with the first step: calculating the total number of flowers. We know there are 17 boys, and each boy brought 3 flowers. So, to find the total, we simply multiply these two numbers together:

Total flowers = Number of boys × Flowers per boy Total flowers = 17 × 3 Total flowers = 51

So, there were a total of 51 flowers brought by the boys. This is our starting point for figuring out how many flowers Valya received. Now that we know the total, we can move on to the next step, which involves calculating the number of flowers the other girls received. Remember, each of the girls, except Valya, received 5 flowers each. We're making progress, guys! We've got the total, and now we're closing in on figuring out Valya's share.

Flowers for the Other Girls: Another Key Calculation

Now, let's figure out how many flowers were given to the girls who each received 5 flowers. We know there are 7 girls in total, and Valya is the exception. So, the other 6 girls each received 5 flowers. To find the total number of flowers they received, we'll multiply the number of girls by the number of flowers each girl got:

Flowers for 6 girls = Number of girls × Flowers per girl Flowers for 6 girls = 6 × 5 Flowers for 6 girls = 30

So, the 6 girls received a total of 30 flowers. This is a crucial piece of the puzzle! We now know the total number of flowers (51) and the number of flowers given to the other 6 girls (30). We're just one step away from discovering how many flowers Valya received. Hang in there, everyone; we're almost there!

Valya's Floral Share: The Final Calculation

Okay, folks, we've reached the final step! We know the total number of flowers (51) and the number of flowers received by the other 6 girls (30). To find out how many flowers Valya received, we simply subtract the flowers received by the other girls from the total number of flowers:

Valya's flowers = Total flowers - Flowers for 6 girls Valya's flowers = 51 - 30 Valya's flowers = 21

So, Valya received 21 flowers! That's quite a bouquet! We've successfully solved the problem by breaking it down into smaller steps and using basic arithmetic. Give yourselves a pat on the back for your awesome problem-solving skills!

Conclusion: A Floral Triumph

Wow, guys, we did it! We successfully navigated this floral math problem and discovered that Valya received a whopping 21 flowers. This problem beautifully illustrates how breaking down complex questions into smaller, more manageable steps can make them much easier to solve. We started by calculating the total number of flowers, then figured out the distribution to the other girls, and finally, with a simple subtraction, we unveiled Valya's share.

This kind of problem is not just about numbers; it's about applying logical thinking and problem-solving skills, which are valuable in all aspects of life. So, the next time you encounter a challenging problem, remember the strategy we used here: break it down, tackle each part step by step, and you'll be amazed at what you can achieve. Keep practicing, keep thinking, and keep solving! And Happy 8th of March to all the amazing girls and women out there!