Question

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?

Answer 1

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