Question

This is timed!!! It is a math equation that I am too lazy to solve.

Answer 1

We know that:

• 
  `Jada + Elena + Lin = 37 \space\ miles`
• 
  `Jada = 4 + Elena`
• 
  `Lin = 2 + Jada`

Finding the distance each walked:

• 
  `Jada + Elena + Lin = 37 \space\ miles`

Add 4 both sides

• =>
  `Jada + Elena + 4 + Lin = 37 + 4`
• =>
  `Jada + Jada + Lin = 41 \space\ miles`
  `[Jada = 4 + Elena]`
• =>
  `Jada + Jada + Jada + 2 = 41 \space\ miles`
  `[Lin = Jada + 2]`

Changing "Jada + Jada + Jada" to "3(Jada)"

• =>
  `3(Jada) + 2 = 41 \space\ miles`

Subtracting 2 both sides:

• =>
  `3(Jada) = 41 - 2`
• =>
  `3(Jada) = 39 \space\ miles`

Divide 3 both sides:

• =>
  `3(Jada) = 39 \space\ miles`
• =>
  `(3(Jada))/(3) = (39 \space\ miles)/(3)`
• =>
  `\bold{Jada} = \bold{13 \space\ miles}`

Substituting the miles Jada walked into the equation "Jada = 4 + Elena"

• 
  `Jada = 4 + Elena`
• =>
  `13 = 4 + Elena`

Subtract 4 both sides:

• =>
  `13 - 4 = 4 - 4 + Elena`
• =>
  `\bold{Elena} = \bold{9 \space\ miles}`

Substituting the miles Jada walked into the equation "Lin = 2 + Jada"

• =>
  `Lin = 2 + 13`
• =>
  `\bold{Lin} = \bold{15 \space\ miles}`

Answer 2

Answer: Below

Explanation:

Using the information, we can see that they all refer to Elena as a marker for how much they walked, directly or indirectly.

Let's use E for Elena, J for Jada, and L for Lin.

E + 4 = J

E + 6 = L

E = E

We know they all walked a total of 37 miles.

J + L + E = 37

(E + 4) + (E + 6) + E = 37

Simplify.

3E + 10 = 37

3E = 27

E = 9

Using E is 9, we find that:

Elena walked 9 miles

Lin walked 15 miles

Jana walked 13 miles

13 + 15 + 9 = 37, so our answer checks out.