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When Legs jumps 2 times and takes 13 steps forward, he lands in the same place as when he jumps 4 times and takes 5 steps backward.• One jump equals how many steps?

Respuesta :

boffeemadrid

Answer:

9 steps

Step-by-step explanation:

Let [tex]x[/tex] be the number of jumps

and [tex]y[/tex] be the number of steps

So the first case

[tex]2x+13y[/tex]

Second case

[tex]4x-5y[/tex]

Both cover equal distances so

[tex]2x+13y=4x-5y[/tex]

[tex]\Rightarrow 2x-4x=-5y-13y[/tex]

[tex]\Rightarrow 2x=18y[/tex]

[tex]\Rightarrow x=9y[/tex]

So, one jumps is 9 steps.