AMC 8 2014 Problem 7
AMC8 2014 年第 7 题
比与比例★★☆☆☆
There are four more girls than boys in Ms. Raub's class of 28 students. What is the ratio of number of girls to the number of boys in her class?
Raub 女士的课上总共有 28 个学生，而女生比男生多 4 个。那么她班上女生和男生的个数之比是多少？
- A.3: 4
- B.4: 3
- C.3: 2
- D.7: 4
- E.2: 1
正确答案 · Correct Answer
B
解析 · Solution
Solution 1
If there were an equal number of girls and boys, there would be 14 14 of each. By increasing the number of girls by 2 2 and decreasing the number of boys by 2 2, we see that there are 16 16 girls and 12 12 boys for a ratio of 16: 12 16:12 or 4: 3 4:3. OR OR If there were 4 4 fewer girls, then the class would be half boys and half girls. Remove 4 4 girls from the 28 28, and the other 24 24 students are evenly split into 12 12 boys and 12 12 girls. Add back the 4 4 girls to get 16 16 girls and 12 12 boys for a 16: 12 16:12 ratio, which simplifies to 4: 3 4:3. Answer: 𝐵 B .
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