Question

At a pond there were 24 ducks swimming. The ratio of ducklings to adult ducks is 5:1. How many ducklings were swimming at the pond?

Answer 1

Twenty ducklings were swimming at the pond

Answer 2

`20\ ducklings`

Explanation:

Let

x------> the number of ducklings

y------> the number of adult ducks

we know that

`x+y=24` ------> equation A

`(x)/(y)=(5)/(1)`

so

`x=5y`

`y=0.20x` ------> equation B

Substitute equation B in equation A

`x+0.20x=24`

`1.20x=24`

`x=20\ ducklings`