Question

Julia's frogs are 2 5 of the number of Rimma's frogs. If Rimma gives 1 2 of her frogs to Julia, what will be the ratio of Julia's frogs to Rimma's frogs?

Answer 1

The required ratio is: 9:5

Explanation:

Let the number of frog's Rimma has be x

Then Julia's will be
`(2x)/(5)`

Now, Rimma give 1/2 of her frog to Julia means now, Rimma will have
`x-(1)/(2)` frog

Then Julia's frog will be
`(2x)/(5)+(1)/(2)`

Now, Rimma will have
`x-(x)/(2)=(x)/(2)`

And Julia will have
`(2x)/(5)+(x)/(2)=(4x+5)/(10)=(9x)/(10)`

Hence, the ratio of Julia's frog to Rimma's frog is
`((9x)/(10))/((x)/(2))`

`Ratio=(9x\cdot 2)/(10\cdot x)`

`\Rightarrow Ratio=(9)/(5)`

The required ratio is: 9:5