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25 April, 20:55

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?

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Answers (2)
  1. 25 April, 21:29
    0
    Jan=X mya=X Sara=X-8 3X-8=64 3X=72 X=24 milesof Jan and mya 24-8=16 miles for Sara
  2. 26 April, 00:42
    0
    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
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