franklin school has 3 boys for every 4 4 girls in fifth grade . there were 140 students in the fifth grade.

A.how many are boys
B.how many are gorls

60 boys

80 girls

To find the number of boys and girls in the fifth grade of Franklin School, we need to use the given information that there are 3 boys for every 4 girls.

Step 1: Calculate the ratio of boys to girls.
The ratio of boys to girls is 3:4, which means for every 3 boys, there are 4 girls.

Step 2: Set up a proportion.
Let x be the constant factor by which we can multiply both sides of the ratio to get the actual number of boys and girls. We can set up the proportion as follows:
(3 boys)/(4 girls) = x

Step 3: Solve for x.
To solve for x, we cross-multiply:
3 * x = 4 * 140

Step 4: Solve for x.
3x = 560
Dividing both sides by 3:
x = 560 / 3
x ≈ 186.67

Step 5: Calculate the number of boys and girls.
To find the number of boys and girls, we multiply x by the numbers associated with them in the ratio.
Number of boys = 3 * x ≈ 3 * 186.67 ≈ 560
Number of girls = 4 * x ≈ 4 * 186.67 ≈ 746.67

Step 6: Round the answers.
Since we can't have a fraction of a student, we need to round the answers:
A. The number of boys is approximately 560.
B. The number of girls is approximately 747.

Therefore, there are approximately 560 boys and 747 girls in the fifth grade at Franklin School.

Let x equal the total number of boys.

3/7 = x/140

Cross multiply.

7x = 420

x = 420/7
x = ?