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4 October, 16:14

The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has. in total, the boys have been on the soccer team for 10 years. how long has brad been on the soccer team.

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  1. 4 October, 16:20
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    Assume the following:

    Brad has been in the soccer team for b years.

    Scot has been in the soccer team for s years.

    "The number of years that brad has been on the soccer team is 2 less than 5 times the number of years that Scott has"

    means: b=5s-2

    "in total, the boys have been on the soccer team for 10 years."

    means: b+s=10

    so we have the equations:

    i) b=5s-2

    ii) b+s=10

    substitute b in ii) with 5s-2, as they are equal, from i

    (5s-2) + s=10

    5s-2+s=10

    6s=12

    s=2,

    then, from b+s=10, b=8

    Answer: Brad has been in the team for 8 years.
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