Share 90 Sweets In The Following Ratio: $5:3:7$.

Feb 26, 2025 by ADMIN 49 views

Introduction

Sharing sweets among friends or family members is a common practice, especially during special occasions or celebrations. When it comes to dividing a certain number of sweets in a specific ratio, it's essential to understand the concept of ratios and proportions. In this article, we will explore how to share 90 sweets in the ratio 5:3:7.

Understanding Ratios

A ratio is a way of expressing the relationship between two or more numbers. It's a fraction that compares the size of two or more quantities. In the given ratio 5:3:7, the numbers 5, 3, and 7 represent the number of sweets that each person will receive. The ratio can be written as 5:3:7, which means that for every 5 sweets, 3 sweets, and 7 sweets will be given to the respective individuals.

Finding the Total Number of Parts

To find the total number of parts in the ratio, we need to add the numbers together. In this case, the total number of parts is 5 + 3 + 7 = 15. This means that the 90 sweets will be divided into 15 equal parts.

Calculating the Value of Each Part

To find the value of each part, we need to divide the total number of sweets (90) by the total number of parts (15). This will give us the value of each part.

# Calculating the value of each part
total_sweets = 90
total_parts = 15
value_per_part = total_sweets / total_parts
print(value_per_part)

The value of each part is 6. This means that each part represents 6 sweets.

Sharing the Sweets

Now that we know the value of each part, we can share the sweets according to the given ratio. We will multiply the value of each part by the number of parts for each person.

For the first person, the number of sweets is 5 parts, so the total number of sweets is 5 x 6 = 30.

For the second person, the number of sweets is 3 parts, so the total number of sweets is 3 x 6 = 18.

For the third person, the number of sweets is 7 parts, so the total number of sweets is 7 x 6 = 42.

Conclusion

In conclusion, to share 90 sweets in the ratio 5:3:7, we need to find the total number of parts (15), calculate the value of each part (6), and then multiply the value of each part by the number of parts for each person. This will give us the total number of sweets for each person.

Example Use Case

Suppose we want to share 120 sweets in the ratio 4:5:6. We can follow the same steps as before to find the total number of parts (15), calculate the value of each part (8), and then multiply the value of each part by the number of parts for each person.

For the first person, the number of sweets is 4 parts, so the total number of sweets is 4 x 8 = 32.

For the second person, the number of sweets is 5 parts, so the total number of sweets is 5 x 8 = 40.

For the third person, the number of sweets is 6 parts, so the total number of sweets is 6 x 8 = 48.

Tips and Variations

When sharing sweets in a ratio, it's essential to ensure that the total number of sweets is divisible by the total number of parts.
If the total number of sweets is not divisible by the total number of parts, you may need to adjust the ratio or add more sweets to make it divisible.
You can also use this concept to share other items, such as toys, candies, or even money, in a specific ratio.

Final Thoughts

Sharing sweets in a ratio is a fun and creative way to divide a certain number of items among friends or family members. By understanding the concept of ratios and proportions, we can easily share sweets in a specific ratio. Whether it's 5:3:7 or 4:5:6, the steps remain the same. So next time you're sharing sweets, remember to find the total number of parts, calculate the value of each part, and then multiply the value of each part by the number of parts for each person. Happy sharing!

Introduction

In our previous article, we explored how to share 90 sweets in the ratio 5:3:7. We discussed the concept of ratios, found the total number of parts, calculated the value of each part, and then shared the sweets according to the given ratio. In this article, we will answer some frequently asked questions related to sharing sweets in a ratio.

Q&A

Q1: What if the total number of sweets is not divisible by the total number of parts?

A1: If the total number of sweets is not divisible by the total number of parts, you may need to adjust the ratio or add more sweets to make it divisible. For example, if you have 90 sweets and the ratio is 5:3:7, but the total number of parts is 15, you can add 15 more sweets to make it 105, which is divisible by 15.

Q2: How do I adjust the ratio if the total number of sweets is not divisible by the total number of parts?

A2: To adjust the ratio, you can either add more sweets to make it divisible or reduce the number of parts for each person. For example, if you have 90 sweets and the ratio is 5:3:7, but the total number of parts is 15, you can reduce the number of parts for each person by 1, making it 4:2:6.

Q3: Can I share sweets in a ratio with a fraction?

A3: Yes, you can share sweets in a ratio with a fraction. For example, if you have 90 sweets and the ratio is 5/3:2/3:1, you can find the total number of parts by adding the fractions, which is 5/3 + 2/3 + 1 = 8/3. Then, you can calculate the value of each part and share the sweets accordingly.

Q4: How do I share sweets in a ratio with multiple groups?

A4: To share sweets in a ratio with multiple groups, you can follow the same steps as before. First, find the total number of parts by adding the number of parts for each group. Then, calculate the value of each part and share the sweets accordingly. For example, if you have 90 sweets and the ratio is 5:3:7 for group A, 2:4:6 for group B, and 1:2:3 for group C, you can find the total number of parts by adding the number of parts for each group, which is 5 + 3 + 7 + 2 + 4 + 6 + 1 + 2 + 3 = 33. Then, you can calculate the value of each part and share the sweets accordingly.

Q5: Can I use this concept to share other items, such as toys or candies?

A5: Yes, you can use this concept to share other items, such as toys or candies, in a specific ratio. The steps remain the same, and you can apply the concept of ratios and proportions to share any item in a specific ratio.

Conclusion

Sharing sweets in a ratio is a fun and creative way to divide a certain number of items among friends or family members. By understanding the concept of ratios and proportions, we can easily share sweets in a specific ratio. Whether it's 5:3:7 or 4:5:6, the steps remain the same. We hope this Q&A article has helped you understand the concept of sharing sweets in a ratio and has provided you with the confidence to try it out with your friends or family members.

Example Use Case

Suppose you want to share 120 toys in the ratio 4:5:6. You can follow the same steps as before to find the total number of parts (15), calculate the value of each part (8), and then multiply the value of each part by the number of parts for each person.

For the first person, the number of toys is 4 parts, so the total number of toys is 4 x 8 = 32.

For the second person, the number of toys is 5 parts, so the total number of toys is 5 x 8 = 40.

For the third person, the number of toys is 6 parts, so the total number of toys is 6 x 8 = 48.

Tips and Variations

When sharing sweets in a ratio, it's essential to ensure that the total number of sweets is divisible by the total number of parts.
If the total number of sweets is not divisible by the total number of parts, you may need to adjust the ratio or add more sweets to make it divisible.
You can also use this concept to share other items, such as toys or candies, in a specific ratio.