For every 3 laps that Jackie swims Ronnie swims 2 laps during practice they swam a combined total of 70 laps how many laps did Ronnie swim during practice

Respuesta :

Jackie swam 42
Ronnie swam 28

Answer:

28 laps


Step-by-step explanation:

Let laps swam by Jackie be J, and laps swam by Ronnie be R.


"For every 3 laps that Jackie swims Ronnie swims 2 laps":

[tex]3R=2J[/tex]

"they swam a combined total of 70 laps ":

[tex]J+R=70[/tex]

Now, solving for J of the first equation and putting that into the 2nd equation, we can know R:

[tex]3R=2J\\J=\frac{3R}{2}\\and\\J+R=70\\(\frac{3R}{2})+R=70\\\frac{5}{2}R=70\\R=\frac{70}{\frac{5}{2}}=28[/tex]

So, Ronnie swam 28 laps.

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