Final answer:
By calculating the value of one part in the ratio 3:4 and multiplying it by the respective number of parts for boys and girls, we find that there are 600 boys to 800 girls among the 1,400 students at Five Forks Middle School.
Step-by-step explanation:
The ratio of boys to girls in a homeroom at Five Forks Middle School is 3:4. To find the number of boys and girls among 1,400 students, we need to first calculate the total number of parts in the ratio, which is 3 + 4 = 7 parts. Then, we find the value of one part by dividing the total number of students by the total number of parts: 1,400 ÷ 7 = 200. Now, we can determine the number of boys by multiplying the value of one part by the number of boy parts in the ratio: 200 × 3 = 600 boys. Similarly, for girls, we multiply the value of one part by the number of girl parts in the ratio: 200 × 4 = 800 girls.
Therefore, the correct answer is c) 600 boys to 800 girls.