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14 April, 08:01

The sum of $180 was divided among 3 people so that the second person received $6 less than twice as much as the first, and the third received $7 more than the second. how much did each person receive?

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  1. 14 April, 08:23
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    Let the amount received by the first person = x

    First person receives: x

    Second person receives: 2x - 6

    Third person receives: 2x - 6 + 7 = 2x + 1

    Solve for x

    x + (2x - 6) + (2x + 1) = $180

    5x - 5 = $180

    5x = $185

    x = $37

    First person receives: $37

    Second person receives: 2 (37) - 6 = $68

    Third person receives: 2 (37) + 1 = $75
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