Ted weighs twice as much as julie. mike weighs three times as much as julie. together, ted, mike, and julie weigh 210 lbs. what is the weight of each person?
julie weighs pounds, ted weighs pounds, and mike weighs pounds.

week 1 they sell X

week 2 they sell X+5

week three they sell 2(X + 5)

X + X + 5 + 2(X + 5) = 431

X + X + 5 + 2X + 10 = 431

4X + 15 = 431

4X = 416

X = 104

so
week 1 = 104
week 2 = 104 + 5 = 109
week three = (double week 2) = 218

and a quick check
218 + 109 + 104 = 431 OK

...

Julie = X

ted = 2X

mike = 3X

X + 2X + 3X = 210

6X = 210

X = 35

so Julie = 35

ted = 70

mike = 105

quick check
35 + 70 + 105 = 210 OK

...

integer 1 = X
integer 2 = X + 1
integer 3 = X + 2
integer 4 = X + 3

X + X + 1 + X + 2 + X + 3 = 114

4X + 6 = 114

4X = 108

X = 27

quick check

27 + 28 + 29 + 30 = 114