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1 October, 02:35

Last season Ellen and Janet together won 32 tennis matches Ellen won 6 more than then Janet How many more matches did Ellen win

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Answers (2)
  1. 1 October, 03:27
    0
    19 matches which is 6 more than Janet's

    Step-by-step explanation:

    Let the matches won by Ellen be A and Janet be B

    Given they both won 32 matches

    That's

    A + B = 32

    And Ellen won 6 more than Janet

    That's

    A = 6 + B

    So we now have two equations

    1. A + B = 32

    2. A = 6 + B

    Substitute B + 6 for A in the first equation

    We have

    A + B = 32

    6 + B + B = 32

    6 + 2B = 32

    Subtract 6 from both sides

    6 - 6 + 2B = 32 - 6

    2B = 26

    Divide both sides by 2

    2B/2 = 26/2

    B = 13

    Recall

    A = 6 + B

    Therefore

    A = 6 + 13

    A = 19

    Ellen won 19 matches which is 6 more than Janet's
  2. 1 October, 05:47
    0
    T = J + E

    T = J + (J + 6)

    T = 32

    32 = 13 + (13 + 6)

    32 = 13 + 19

    32 = 32

    Ellen won 19 matches.
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