Word Problem

[DanieldeLucena]

In running jumps, we have 3 jumps of the frog is equivalent to 2 jumps of the rabbit. How many jumps the rabbit will be needed to achieve the frog that has an advantage of nine jumps?

Resp.: 27

How can I get it ??

 

[Aladdin]

-------------------------------------------------------------------------------------------------------------------------------------------------------
Make a system of two unknowns :

\(\displaystyle 3x = 2y\)
\(\displaystyle y = x + 9\)

By substitution : x=x

 

[DanieldeLucena]

Thanks

 

[galactus]

You could try a proportion.

\(\displaystyle \frac{3}{2}=\frac{x}{x-9}\)

Now, solve for x. See what you get.