问题


There is a single choice question about high school mathematics. Answer the question by replying A, B, C or D.
Question: Morgan is on a social networking website. She has 60 female friends and 50 male friends and belongs to 5 social groups. If 30% of her female friends live in town and 40% of her male friends live in town, how many out-of-town friends does she have on the social networking site?
A. 38
B. 72
C. 110
D. 360
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B. 72
B
deepseekr1

To determine how many of Morgan's friends live out of town, we first calculate the number of in-town friends for each gender:

- **Female friends in town**:
30% of 60 = \(0.3 \times 60 = 18\).
- **Male friends in town**:
40% of 50 = \(0.4 \times 50 = 20\).

Total in-town friends = \(18 + 20 = 38\).

Morgan’s total friends = \(60 + 50 = 110\).
**Out-of-town friends** = Total friends - In-town friends = \(110 - 38 = 72\).

The 5 social groups mentioned are irrelevant to the calculation.

**Answer: B**
B
gpto1 B B
GPT-4o To determine the number of out-of-town friends Morgan has, we first need to calculate how many of her friends live in town.

1. Calculate the number of female friends who live in town:
30% of 60 female friends = 0.30 × 60 = 18 female friends in town

2. Calculate the number of male friends who live in town:
40% of 50 male friends = 0.40 × 50 = 20 male friends in town

3. Add the number of female and male friends who live in town:
Total friends in town = 18 (female) + 20 (male) = 38 friends in town

4. Calculate the total number of friends Morgan has:
Total friends = 60 (female) + 50 (male) = 110 friends

5. Subtract the number of friends who live in town from the total number of friends to find the number of out-of-town friends:
Out-of-town friends = 110 (total) - 38 (in town) = 72 out-of-town friends

So, the number of out-of-town friends Morgan has is:
B. 72
B
llama3.1-70B-Instruct

To find the number of out-of-town friends Morgan has, we first need to calculate the number of in-town friends she has.

Number of female friends = 60
Percentage of female friends living in town = 30%
Number of female friends living in town = 60 * 0.3 = 18

Number of male friends = 50
Percentage of male friends living in town = 40%
Number of male friends living in town = 50 * 0.4 = 20

Total number of in-town friends = 18 (female) + 20 (male) = 38

Total number of friends = 60 (female) + 50 (male) = 110

Number of out-of-town friends = Total number of friends - Total number of in-town friends
= 110 - 38
= 72

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

B. 60 x 30% = 18 and 50 x 40% = 20, so there are 18 + 20 = 38 friends in town and 110 - 38 = 72 out-of-town friends.
The best answer is B.
B
DeepSeek-Coder-V2 A. 38 B
Qwen2-72B-Instruct B. 72

Explanation:
To find the number of out-of-town friends, we first need to find the number of in-town friends and subtract that from the total number of friends.

Morgan has 60 female friends, and 30% of them live in town. So, the number of in-town female friends is 60 * 0.30 = 18.

Morgan also has 50 male friends, and 40% of them live in town. So, the number of in-town male friends is 50 * 0.40 = 20.

Therefore, the total number of in-town friends is 18 + 20 = 38.

Morgan has a total of 60 + 50 = 110 friends.

So, the number of out-of-town friends is 110 - 38 = 72.

The number of social groups Morgan belongs to is not relevant to the calculation.
B
baichuan4 B. 72 B
doubao The number of female friends who live in town is 60 * 0.3 = 18. So the number of female friends who don't live in town is 60 - 18 = 42. The number of male friends who live in town is 50 * 0.4 = 20. So the number of male friends who don't live in town is 50 - 20 = 30. The total number of out-of-town friends is 42 + 30 = 72.
So the answer is B.
B
minimax First, let's calculate the number of female and male friends Morgan has who live in town:

Female friends in town: 60 * 30% = 60 * 0.30 = 18
Male friends in town: 50 * 40% = 50 * 0.40 = 20

Now, let's calculate the number of female and male friends Morgan has who live out of town:

Female friends out of town: 60 - 18 = 42
Male friends out of town: 50 - 20 = 30

Finally, let's add the out-of-town female and male friends to find the total number of out-of-town friends:

Total out-of-town friends: 42 (female) + 30 (male) = 72

The correct answer is B. 72.
B
kimi First, let's calculate the number of out-of-town female friends. If 30% of her female friends live in town, then 70% of them live out of town. So, the number of out-of-town female friends is:
\[ 60 \text{ female friends} \times 70\% = 60 \times 0.7 = 42 \]

Next, let's calculate the number of out-of-town male friends. If 40% of her male friends live in town, then 60% of them live out of town. So, the number of out-of-town male friends is:
\[ 50 \text{ male friends} \times 60\% = 50 \times 0.6 = 30 \]

Now, we add the number of out-of-town female friends and out-of-town male friends to find the total number of out-of-town friends:
\[ 42 \text{ (out-of-town female friends)} + 30 \text{ (out-of-town male friends)} = 72 \]

So, the total number of out-of-town friends Morgan has on the social networking site is 72.

Answer: B. 72
B
wenxinyiyan B

Morgan has 60 female friends and 50 male friends. 30% of her female friends live in town, so 0.3 * 60 = 18 of her female friends live in town. This means that 60 - 18 = 42 of her female friends live out of town. 40% of her male friends live in town, so 0.4 * 50 = 20 of her male friends live in town. Thus, 50 - 20 = 30 of her male friends live out of town. Morgan has 42 + 30 = 72 friends who live out of town.
B
zhipu To determine the number of out-of-town friends Morgan has, we need to calculate the number of in-town friends first and then subtract that from the total number of friends.

1. Calculate the number of in-town female friends:
\[ 30\% \text{ of } 60 \text{ female friends} = 0.30 \times 60 = 18 \]

2. Calculate the number of in-town male friends:
\[ 40\% \text{ of } 50 \text{ male friends} = 0.40 \times 50 = 20 \]

3. Sum the in-town friends:
\[ 18 \text{ in-town female friends} + 20 \text{ in-town male friends} = 38 \text{ in-town friends} \]

4. Calculate the total number of friends:
\[ 60 \text{ female friends} + 50 \text{ male friends} = 110 \text{ friends} \]

5. Subtract the in-town friends from the total number of friends to find the out-of-town friends:
\[ 110 \text{ total friends} - 38 \text{ in-town friends} = 72 \text{ out-of-town friends} \]

Thus, the number of out-of-town friends Morgan has is:
\[ \boxed{72} \]

The correct answer is B. 72.
B
gpto1 B B
deepseekv3 To determine how many of Morgan's friends live **out of town**, we'll calculate the number of friends living **in town** and subtract that from her total number of friends.

1. **Calculate the number of female friends living in town:**
- Morgan has **60 female friends**.
- **30%** of them live in town.
\[
0.30 \times 60 = 18
\]

2. **Calculate the number of male friends living in town:**
- Morgan has **50 male friends**.
- **40%** of them live in town.
\[
0.40 \times 50 = 20
\]

3. **Total friends living in town:**
\[
18 \text{ (female)} + 20 \text{ (male)} = 38
\]

4. **Total number of friends:**
\[
60 \text{ (female)} + 50 \text{ (male)} = 110
\]

5. **Calculate the number of out-of-town friends:**
\[
110 \text{ (total friends)} - 38 \text{ (in town)} = 72
\]

**Answer:** \boxed{B}
B