Question

In class A, the ratio of boys to girls is 4:5 in class B, the ratio of boys to girls is 8:5. If the ratio of boys to girls in both classes put together is 6:5. What is the ratio of number of girls in class A to number of girls in class B?
3:1
38:35
1:1
2:1

Answer 1

Answer:

3:1

Explanation:

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Answer 2

Answer:

1:1

Explanation:

Let the number of boys in Class A be 4x.

Let the number of girls in Class A be 5x.

Let the number of boys in Class B be 8y.

Let the number of boys in Class B be 8y.

Now, the problem says, the sum of the ratio of boys and girls in two classes is 6:5.

So, according to the given condition:

4x+8y 6

______ = ____

5x+5y 5

20x + 40y = 30x+ 30y [by cross multiplying left hand side with right hand side]

So, 10x = 10y

x/y = 1/1

Since x and y are equal therefore the required ratio of girls of class A to girls of class B is 1:1