Mathematics: 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?

Julia s frogs are 2 5 of the number of rimma s frogs.

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10.03.2022

The required ratio is: 9:5

Step-by-step explanation:

Let the number of frog's Rimma has be x

Then Julia's will be $\frac{2x}{5}$

Now, Rimma give 1/2 of her frog to Julia means now, Rimma will have $x-\frac{1}{2}$ frog

Then Julia's frog will be $\frac{2x}{5}+\frac{1}{2}$

Now, Rimma will have $x-\frac{x}{2}=\frac{x}{2}$

And Julia will have $\frac{2x}{5}+\frac{x}{2}=\frac{4x+5}{10}=\frac{9x}{10}$

Hence, the ratio of Julia's frog to Rimma's frog is $\frac{\frac{9x}{10}}{\frac{x}{2}}$

$Ratio=\frac{9x\cdot 2}{10\cdot x}$

$\Rightarrow Ratio=\frac{9}{5}$

The required ratio is: 9:5

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