Question

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

Answer 1

Jackie swam 42
Ronnie swam 28

Answer 2

28 laps

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":

`3R=2J`

"they swam a combined total of 70 laps ":

`J+R=70`

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

`3R=2J\\J=(3R)/(2)\\and\\J+R=70\\((3R)/(2))+R=70\\(5)/(2)R=70\\R=(70)/((5)/(2))=28`

So, Ronnie swam 28 laps.