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?

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