Final answer:
Answer: Number of boys= 600.
Number of girls= 800. To find the number of boys and girls at Berkmar Middle School, set up a proportion using the ratio of boys to girls. Solve the equation to find the number of boys and girls.
Step-by-step explanation:
To find the number of boys and girls at Berkmar Middle School, we need to use the ratio of boys to girls. The ratio given is 3 to 4, which means for every 3 boys, there are 4 girls.
We can set up a proportion to solve for the number of boys and girls. Let x represent the number of boys. Then, the number of girls would be 4x/3.
Since the total number of students is 1,400, we can set up the equation: x + 4x/3 = 1,400
To solve for x, we can multiply both sides of the equation by 3 to eliminate the fraction: 3x + 4x = 4,200
Combining like terms, we get 7x = 4,200. Dividing both sides by 7, we find that x = 600.
Therefore, there are 600 boys and 800 girls at Berkmar Middle School.