Question

in a given class room the number of girls is greater than the number of boy. If of the number of girls to the number of boys is 7 ratio 5,then find the number of boys with the solution​

Answer 1

So the number of girls is 7 times the number of boys. If we want a specific number, we would need to know the total number of students in the class.

Explanation:

Let's use algebra to solve the problem:

Let's say the number of boys in the classroom is "b", and the number of girls is "g".

From the problem statement, we know that:

g > b (the number of girls is greater than the number of boys)

g/b = 7/5 (the ratio of girls to boys is 7:5)

We can use the second equation to write g in terms of b:

g/b = 7/5

g = (7/5) * b

Now we can substitute this expression for g into the first equation:

g > b

(7/5) * b > b

Simplifying this inequality:

7b/5 > b

7b > 5b

2b > 0

b > 0

So we know that b is positive.

To find the exact value of b, we can use the fact that the ratio of g to b is 7:5:

g/b = 7/5

(7/5) * b/b = 7/5

7b/5b = 7/5

7/5 = 7/5

This equation is true for any value of b (as long as b is positive), so we don't actually get a unique solution for b. However, we can still make a statement about the relationship between b and g:

g/b = 7/5

g = (7/5) * b

g = (7/5) * 5x

g = 7x

So the number of girls is 7 times the number of boys. If we want a specific number, we would need to know the total number of students in the class.

Answer 2

B = (5/7)G where B and G are the numbers of Boys and Girls,

Explanation:

The ration of girls to boys is 7/5. If we let G and B represent the numbers of Girls and Boys, we can write:

G/B = 7/5

The problem dioes not tell us the number of either boys or girls, so we cannot calculate the number of boys, as the question seems to ask. If the actual number of girls is provided, then we can calculate the number of boys:

G/B = 7/5

5G = 7B [Multiply both sides by 5B]

7B = 5G and so

B = (5/7)G

If, for example, there were 14 girls, there would be B = (5/7)*(14) or 5 Boys.