Question

the ratio of boys to girls is 4:3 after 160 boys left the ratio of boys to girls is now 4:5 how many girls are left?

Answer 1

`2 \: girls \:`

Answer 2

There are 300 girls left.

Step-by-step explanation:

The ratio of boys to girls is 4:3.

Let the Number of boys = 4x

Number of girls = 3x

After 160 boys left , the ratio will be

`((4x - 160))/((3x)) =(4)/(5)`

solving for x.

5(4x - 160) = 4(3x) (cross multiplying)

20x - 800 = 12x

8x = 800

x = 100

substituting the value of we get

4x = 400 boys

3x = 300 girls