Answer: the first person pays $50
the second person pays $150
the third person pays $100
Explanation:
Let x = the amount paid by the first person
Let = the amount paid by the second person
Let z = the amount paid by the third person
If 3 people by a TV for 300 dollars, it means that
x + y + z = 300 - - - - - - - -1
the first person pays 1/2 of what the third person paid. It means
x = z/2
z = 2x
Also the first person pays 1/3 of what the second person pays. It means
x = y/3
y = 3x
Substituting z = 2x and y = 3x into equation 1, it becomes
x + 3x + 2x = 300
6x = 300
x = 300/6 = $50
y = 3x = 3×50 = $150
z = 2x = 50×2 = $100