Question

The total number of students enrolled at Richards Middle School is 1,400 students. If the ratio of boys to girls is 3 to 4 for the school, how many students are boys and how many students are girls at Richards Middle School?

a) Boys: 300, Girls: 400
b) Boys: 350, Girls: 450
c) Boys: 400, Girls: 500
d) Boys: 450, Girls: 550

Answer 1

At Richards Middle School, there are 600 boys and 800 girls, calculated from the total enrollment of 1,400 students and the given ratio of boys to girls, which is 3 to 4.

Step-by-step explanation:

To determine the number of boys and girls at Richards Middle School, where the total number of students is 1,400 and the ratio of boys to girls is 3 to 4, we can use a step-by-step approach. First, we summarize the ratio of boys to girls:

• Boys : Girls = 3 : 4

Next, we combine the ratio parts: 3 (boys) + 4 (girls) = 7 parts total. We can now find the value of one part:

• Total students ÷ Total ratio parts = 1,400 ÷ 7 = 200

Now, we can determine the number of boys and girls:

• Boys = 3 parts = 3 × 200 = 600
• Girls = 4 parts = 4 × 200 = 800

Therefore, there are 600 boys and 800 girls at Richards Middle School.