问题


There is a single choice question about elementary mathematics. Answer the question by replying A, B, C or D.
Question: A package of paper towels has 12 rolls of paper towels in it. Mr. Kelly wants to put an equal number of rolls of paper towels into 4 rooms. He uses the number sentence below to find the number of rolls of paper towels, t, he should put into each room. 12 ÷ t = 4 Which number sentence shows another way Mr. Kelly can find the number of rolls of paper towels, t, he should put into each room?
A. 4 ÷ 12 = t
B. 4 – t = 12
C. 4 + 12 = t
D. 4 × t = 12
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D
D
deepseekr1

The original equation \(12 \div t = 4\) can be rewritten using multiplication, as division and multiplication are inverse operations. Rearranging the equation gives \(4 \times t = 12\), which matches option **D**. Other options result in incorrect values for \(t\) (e.g., fractions, negatives, or irrelevant sums).

**Answer:** D
D
gpto1 D D
GPT-4o D. 4 × t = 12 D
llama3.1-70B-Instruct

D
D
llama3.1-405B-Instruct

D
D
DeepSeek-Coder-V2 D. 4 × t = 12 D
Qwen2-72B-Instruct D. 4 × t = 12 D
baichuan4 A. 4 ÷ 12 = t D
doubao D

If 4 rooms each have t rolls of paper towels, then the total number of rolls in the 4 rooms is 4t and that should equal 12, so 4 × t = 12.
D
minimax D. 4 × t = 12 D
kimi D D
wenxinyiyan D

Explanation:
Mr. Kelly has a total of 12 rolls of paper towels and he wants to distribute them equally among 4 rooms. This means he wants to find the number of rolls per room, which we are calling t.

The original equation he used was 12 ÷ t = 4. This equation is saying "12 divided by the number of rolls per room equals 4 rooms". However, this equation is set up incorrectly because he is trying to solve for t, so t should be alone on one side of the equation.

A better way to set up the equation would be to multiply the number of rolls per room (t) by the number of rooms (4) to get the total number of rolls (12). This gives us the equation 4 × t = 12.

Now let's look at the other options:

A. 4 ÷ 12 = t: This equation is saying "4 rooms divided by 12 rolls equals the number of rolls per room". This doesn't make sense because you can't divide the number of rooms by the number of rolls to get the number of rolls per room.

B. 4 – t = 12: This equation is saying "4 rooms minus the number of rolls per room equals 12 rolls". This doesn't make sense because subtracting the number of rolls per room from the number of rooms doesn't give you the total number of rolls.

C. 4 + 12 = t: This equation is saying "4 rooms plus 12 rolls equals the number of rolls per room". This doesn't make sense because adding the number of rooms and the number of rolls doesn't give you the number of rolls per room.

So, the correct answer is D: 4 × t = 12.
D
zhipu D. 4 × t = 12

Explanation: The original number sentence is 12 ÷ t = 4. This means that 12 rolls of paper towels divided by t (the number of rolls per room) equals 4 rooms. To find another way to express this relationship, you can multiply both sides of the equation by t to get 12 = 4t. Rearranging this gives 4 × t = 12, which is option D. This shows that multiplying the number of rooms (4) by the number of rolls per room (t) should equal the total number of rolls (12).
D
gpto1 D D
deepseekv3 To solve the problem, we need to determine the value of \( t \) such that when 12 rolls are divided equally into 4 rooms, each room gets \( t \) rolls. The given equation is:

\[ 12 \div t = 4 \]

We can rewrite this equation to solve for \( t \):

\[ t = 12 \div 4 \]
\[ t = 3 \]

Now, let's examine the options to find another equation that also leads to \( t = 3 \):

**A.** \( 4 \div 12 = t \)
This simplifies to \( t = \frac{1}{3} \), which is incorrect.

**B.** \( 4 - t = 12 \)
Solving for \( t \) gives \( t = -8 \), which is incorrect.

**C.** \( 4 + 12 = t \)
This simplifies to \( t = 16 \), which is incorrect.

**D.** \( 4 \times t = 12 \)
Solving for \( t \) gives \( t = 3 \), which is correct.

Therefore, the correct answer is:

**D**
D