Question

Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than jada.

Answer 1

Jada walked
`13\ miles`

Elena walked
`9\ miles`

Lin walked
`15\ miles`

Explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

`x+y+z=37` -----> equation A

`x=y+4` ----->
`y=x-4` ------> equation B

`z=x+2` ------> equation C

Substitute equation C and equation B in equation A and solve for x

`x+(x-4)+(x+2)=37`

`3x=37+2`

`3x=39`

`x=13\ mi`

Find the value of y

`y=13-4=9\ mi`

Find the value of z

`z=13+2=15\ mi`

therefore

Jada walked
`13\ miles`

Elena walked
`9\ miles`

Lin walked
`15\ miles`