Answer:
March: 28 miles, April: 24.9 miles, May: 30.1 miles
Step-by-step explanation:
Equations
Let's call x the amount of miles walked by June in March. We know she walked 3.1 fewer miles in April than in March. The miles for April are
[tex]x-3.1[/tex]
She walked 5.2 more miles in May than in April. So in May she walked
[tex]x-3.1+5.2=x+2.1[/tex]
The total of miles walked is expressed by
[tex]x+x-3.1+x+2.1=3x-1[/tex]
This expression is equal to 83 miles, thus
[tex]3x-1=83[/tex]
Solving for x
[tex]x=84/3=28[/tex]
That is the distance in miled walked in March. In April she walked
[tex]x-3.1=28-3.1=24.9\ miles[/tex]
And in May, she walked
[tex]24.9+5.2=30.1\ miles[/tex]
