问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: A store has 3 boxes of shirts. Each box has 4 packages with 7 shirts in each package. The expression 3 × (4 × 7) can be used to find the total number of shirts. Which expression can also be used to find the total number of shirts?
A. 12 × 3
B. 12 × 7
C. 28 × 4
D. 28 × 7
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B
B
deepseekr1

The original expression calculates shirts as 3 boxes × (4 packages/box × 7 shirts/package) = 3 × 28 = 84 shirts. Using the associative property, regrouping as (3 × 4) × 7 gives 12 × 7 = 84, which matches. Other options yield incorrect totals: A (36), C (112), D (196).

Answer: **B**
B
gpto1 Based on the problem's description and the given expression \(3 \times (4 \times 7)\), we're asked to find an equivalent expression among the options provided.

Let's break down the original expression:

- There are **3 boxes**.
- Each box contains **4 packages**.
- Each package contains **7 shirts**.

So, the total number of shirts is calculated as:
\[ \text{Total shirts} = 3 \times (4 \times 7) \]

Since multiplication is associative, we can rearrange the numbers without changing the product:
\[ 3 \times (4 \times 7) = (3 \times 4) \times 7 = 12 \times 7 \]

This matches option **B**.

Option A (\(12 \times 3\)) represents \((3 \times 4) \times 3\), which doesn't align with the original context.

Option C (\(28 \times 4\)) represents \((4 \times 7) \times 4\), which also doesn't match.

Option D (\(28 \times 7\)) represents \((4 \times 7) \times 7\), which is not equivalent to the original expression.

**Therefore, the expression that can also be used to find the total number of shirts is \(12 \times 7\).**

**Answer: B**
B
GPT-4o B. 12 × 7 B
llama3.1-70B-Instruct

The correct answer is B
B
llama3.1-405B-Instruct

B
B
DeepSeek-Coder-V2 B. 12 × 7 B
Qwen2-72B-Instruct B. 12 × 7 B
baichuan4 C B
doubao B. 12×7.

3 boxes, each box has 4 packages, so there are 3×4 = 12 packages in total. Each package has 7 shirts, so 12×7 also gives the total number of shirts.
B
minimax The expression 3 × (4 × 7) represents the total number of shirts by first calculating the number of shirts in one box (4 packages with 7 shirts each) and then multiplying by the number of boxes (3).

To find an equivalent expression, we can rearrange the factors to represent the calculation in a different order. Since the order of multiplication does not matter (commutative property), we can multiply any two numbers together first and then multiply by the third.

The expression 3 × (4 × 7) can be rewritten as (3 × 4) × 7, which is the same as 12 × 7.

Therefore, the correct answer is:

B. 12 × 7
B
kimi B. 12 × 7 B
wenxinyiyan B

Explanation:
To find the total number of shirts, we need to multiply the number of boxes, packages per box, and shirts per package.
The given expression is 3 × (4 × 7), which means 3 boxes, 4 packages per box, and 7 shirts per package.
We can also find the total number of shirts by first multiplying the number of packages per box by the number of shirts per package to get the total number of shirts per box, and then multiplying by the number of boxes.
So, we have 4 packages per box and 7 shirts per package.
4 × 7 = 28 shirts per box
Now, we multiply the number of shirts per box by the number of boxes:
28 × 3 = 84 shirts
So, the expression 28 × 3 can also be used to find the total number of shirts.
However, this is not one of the options. Looking at the options, we can see that 12 × 7 will also give 84 because 4 × 3 = 12 (number of packages) and then 12 × 7 = 84 (total number of shirts).
Therefore, the correct answer is B.
B
zhipu To find the total number of shirts, we need to multiply the number of boxes by the number of packages in each box and then by the number of shirts in each package. The given expression is 3 × (4 × 7).

Let's evaluate each option to see which one matches the total number of shirts:

A. 12 × 3:
- This would imply 12 groups of 3, which does not match the structure of boxes, packages, and shirts.

B. 12 × 7:
- This would imply 12 groups of 7, which does not match the structure of boxes, packages, and shirts.

C. 28 × 4:
- First, calculate 4 × 7 = 28 (which is the number of shirts in each box).
- Then, multiply by the number of boxes: 3.
- This matches the structure and results in the same total number of shirts.

D. 28 × 7:
- This would imply 28 groups of 7, which does not match the structure of boxes, packages, and shirts.

The correct expression that also finds the total number of shirts is:

C. 28 × 4

So, the answer is C.
B
gpto1 Based on the problem's description and the given expression \(3 \times (4 \times 7)\), we're asked to find an equivalent expression among the options provided.

Let's break down the original expression:

- There are **3 boxes**.
- Each box contains **4 packages**.
- Each package contains **7 shirts**.

So, the total number of shirts is calculated as:
\[ \text{Total shirts} = 3 \times (4 \times 7) \]

Since multiplication is associative, we can rearrange the numbers without changing the product:
\[ 3 \times (4 \times 7) = (3 \times 4) \times 7 = 12 \times 7 \]

This matches option **B**.

Option A (\(12 \times 3\)) represents \((3 \times 4) \times 3\), which doesn't align with the original context.

Option C (\(28 \times 4\)) represents \((4 \times 7) \times 4\), which also doesn't match.

Option D (\(28 \times 7\)) represents \((4 \times 7) \times 7\), which is not equivalent to the original expression.

**Therefore, the expression that can also be used to find the total number of shirts is \(12 \times 7\).**

**Answer: B**
B
deepseekv3 To solve the problem, let's break it down step by step:

1. **Calculate the total number of shirts using the given expression**:
\[
3 \times (4 \times 7) = 3 \times 28 = 84
\]

2. **Check the options to see which one also equals 84**:
- **A. \(12 \times 3\)**: \(12 \times 3 = 36\) (Incorrect)
- **B. \(12 \times 7\)**: \(12 \times 7 = 84\) (Correct)
- **C. \(28 \times 4\)**: \(28 \times 4 = 112\) (Incorrect)
- **D. \(28 \times 7\)**: \(28 \times 7 = 196\) (Incorrect)

Thus, the correct answer is **B. \(12 \times 7\)**.
B