Please help ! What are the coordinates of point B on the line AC such that ratio of AB to AC is 5:6

The answer to your question is:  

Julie weights = 52.5 lbs

Mike weights = 157.5 lbs

Ted weights = 105 lbs

Step-by-step explanation:

Ted = T

Julie = J

Mike = M

Equations

                       T = 2J

                       M = 3J

                       M + J = 210

                       3J + J = 210

                       4J = 210

                       J = 210 / 4

                       J = 52.5 lbs

                      M = 3(52.5)

                      M = 157.5 lbs

                       T = 2(52.5)

                        T = 105 lbs