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17 January, 08:47

In the u. S congress, the number of representatives is 65 less than five times the number of senators. There are a total of 535 members of congress. Find the number of senators and the number of representatives

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  1. 17 January, 10:46
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    The number of senators is 100

    The number of representatives is 435

    Step-by-step explanation:

    Given dа ta:

    number of representatives is 65 less than five times the number of senators

    here are a total of 535 members of congress

    Let representatives be x

    Let senators be y

    5y - x = 65 (equation 1)

    y + x = 535 (equation 2)

    Adding equation 1 and equation 2

    6y = 600 (Dividing both sides by 6)

    y = 100

    The number of senators is 100

    Substituting y into equation 2

    y + x = 535

    100+x=535

    x=535-100

    x=435

    The number of representatives is 435
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