Jan, mya, and Sara ran a total of 64 miles last week. jan and mya ran the same number of miles. Sara ran 8 less miles than mya. how many miles did Sara run?

Jan=X mya=X Sara=X-8 3X-8=64 3X=72 X=24 milesof Jan and mya 24-8=16 miles for Sara

So,

We'll just use A to represent both Jan and Mya's miles, since they ran the same number.

We have the equations:

1. Jan (J) = Mya (M)

2. Sara (S) = M - 8

3. 2A + S = 64

J = M

S = M - 8

We'll just use A to represent both J and M.

S = M - 8

We'll use Elimination by Substitution.

2A + A - 8 = 64

Collect Like Terms

3A - 8 = 64

Add 8 to both sides

3A = 72

Divide both sides by 3

A = 24

Since

A = J

and

A = M

and

J = M

then

J = 24

M = 24

Substitute

S = 24 - 8

S = 16

Check

24 + 24 + 16 = 64

64 = 64 This checks.

So,

J = 24

M = 24

S = 16