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5 February, 03:43

Stephanie weighs 3 times as much as Rachel. Both weights are whole numbers and the sun of their weights is less than 160 pounds. Find the greatest weight of each girl.

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  1. 5 February, 03:48
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    The weight of Rachel is less than 40 Pounds.

    The weight of Stephanie is less than 120 Pounds

    Step-by-step explanation:

    Sum of both both their weights is less than 160 pounds.

    Let the weight of Rachel = k Pounds

    ⇒The weight of Stephanie = (3k) pounds

    Now, according to the question:

    k + 3k < 160

    or, 4k < 160

    ⇒ k < 160 / 4 = 40

    or, k < 40

    ⇒ The weight of Rachel is less than 40 Pounds.

    and The weight of Stephanie is less than (3 k = 3 x 40) 120 Pounds
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