SOLUTION: Solve this problem on paper using all four steps. Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve this problem on paper using all four steps. Ted weighs twice as much as Julie. Mike weighs three times as much as Julie. Together, Ted, Mike, and Julie weigh 210 lbs. What      Log On


   

Question 317017: Solve this problem on paper using all four steps.
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.
Found 2 solutions by mananth, JBarnum:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let Julie's weight be x
ted's weight = 2x
mike's weight = 3x
..
all three weigh 210lbs
..
x+2x+3x=210
6x=210
divide by 6
x=210/6
x=35
julie's weight = 35 lbs.
Ted's weight = 2x
= 2*35=70 lbs
Mike's weight = 3x
= 3*35=105 lbs
CHECK
35+70+105=210 lbs

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
T=2J "Ted weighs twice as much as Julie"
M=3J "Mike weighs three times as much as Julie"
T%2BM%2BJ=210 "Together, Ted, Mike, and Julie weigh 210 lbs"


%282J%29%2B%283J%29%2BJ=210 add like terms
6J=210 divide by 6
highlight%28J=35%29


T=2J
T=2%2835%29
highlight%28T=70%29


M=3J
M=3%2835%29
highlight%28M=105%29


Checking
T%2BM%2BJ=210
70%2B105%2B35=210
210=210