Quadrupling the Number of Dolls

Oct 13, 2025 by miodeya.com 111 views

Introduction

In this problem, we are presented with a scenario where Sandy's parents quadruple the number of dolls she has, and then she decides to share them equally with her brother. Our goal is to determine the total number of dolls Sandy has after these events.

Initial Number of Dolls

Sandy initially has 10 dolls in her collection.

Quadrupling the Number of Dolls

Sandy's parents decide to quadruple the number of dolls she has. This means that they multiply the initial number of dolls by 4.

10 \times 4 = 40

So, after quadrupling the number of dolls, Sandy now has 40 dolls.

Sharing the Dolls with Her Brother

Sandy decides to share the 40 dolls equally with her brother. This means that they will divide the total number of dolls by 2.

40 \div 2 = 20

However, this is not the total number of dolls Sandy has. Since she is sharing the dolls equally with her brother, she will still have half of the total number of dolls.

Total Number of Dolls

To find the total number of dolls Sandy has, we need to consider that she is sharing the dolls equally with her brother. This means that the total number of dolls is twice the number of dolls she has after sharing.

20 \times 2 = 40

However, this is not the correct answer. We need to consider that the total number of dolls is the sum of the number of dolls Sandy has after quadrupling and the number of dolls her brother has.

Correct Numerical Expression

Let's analyze the situation:

Sandy has 40 dolls after quadrupling.
She shares the dolls equally with her brother, so her brother also has 20 dolls.
The total number of dolls is the sum of the number of dolls Sandy has and the number of dolls her brother has.

40 + 20 = 60

However, this is not the correct answer. We need to consider that the total number of dolls is the sum of the number of dolls Sandy has after quadrupling and the number of dolls her brother has, but we also need to consider that the number of dolls her brother has is half of the total number of dolls.

Correct Answer

Let's analyze the situation:

Sandy has 40 dolls after quadrupling.
She shares the dolls equally with her brother, so her brother also has 20 dolls.
The total number of dolls is the sum of the number of dolls Sandy has and the number of dolls her brother has, but we also need to consider that the number of dolls her brother has is half of the total number of dolls.

40 + 20 = 60

However, this is not the correct answer. We need to consider that the total number of dolls is twice the number of dolls Sandy has after quadrupling.

40 \times 2 = 80

Conclusion

In conclusion, the correct numerical expression that shows the total number of dolls Sandy has is:

10 \times 4 \times 2 = 80

This expression represents the total number of dolls Sandy has after her parents quadruple the number of dolls she has and she shares them equally with her brother.

Final Answer

Introduction

In our previous article, we explored the problem of Sandy's doll collection, where her parents quadruple the number of dolls she has, and then she decides to share them equally with her brother. We determined that the total number of dolls Sandy has is 80. In this article, we will answer some frequently asked questions related to this problem.

Q&A

Q: What is the initial number of dolls Sandy has?

A: Sandy initially has 10 dolls in her collection.

Q: What happens to the number of dolls when Sandy's parents quadruple them?

A: When Sandy's parents quadruple the number of dolls, they multiply the initial number of dolls by 4. This means that the number of dolls increases from 10 to 40.

Q: How many dolls does Sandy have after sharing them equally with her brother?

A: After sharing the dolls equally with her brother, Sandy has 20 dolls.

Q: How many dolls does Sandy's brother have after sharing?

A: After sharing the dolls equally with Sandy, her brother also has 20 dolls.

Q: What is the total number of dolls Sandy has?

A: The total number of dolls Sandy has is 80.

Q: Why is the total number of dolls 80?

A: The total number of dolls is 80 because it is twice the number of dolls Sandy has after quadrupling. This is represented by the expression 10 × 4 × 2.

Q: Can you explain the expression 10 × 4 × 2?

A: The expression 10 × 4 × 2 represents the total number of dolls Sandy has. It is calculated as follows:

10 × 4 = 40 (the number of dolls after quadrupling)
40 × 2 = 80 (the total number of dolls)

Q: What is the correct numerical expression that shows the total number of dolls Sandy has?

A: The correct numerical expression that shows the total number of dolls Sandy has is 10 × 4 × 2.

Q: Can you provide a visual representation of the problem?

A: Here is a visual representation of the problem:

Sandy has 10 dolls initially
Sandy's parents quadruple the number of dolls, so she now has 40 dolls
Sandy shares the dolls equally with her brother, so she has 20 dolls and her brother has 20 dolls
The total number of dolls is 80

Q: What is the main concept being tested in this problem?

A: The main concept being tested in this problem is multiplication and division. The problem requires the student to multiply the initial number of dolls by 4 and then divide the result by 2 to find the total number of dolls.

Q: Can you provide a similar problem for practice?

A: Here is a similar problem:

Tom has 15 books in his collection. His sister quadruples the number of books he has, and then he decides to share them equally with his brother. What is the total number of books Tom has?

Answer: 30

Conclusion

In conclusion, we have answered some frequently asked questions related to Sandy's doll collection problem. We have explained the concept of multiplication and division, and provided a visual representation of the problem. We have also provided a similar problem for practice.