SOLUTION: 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?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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?      Log On


   

Question 1005110: 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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) +t+=+2j+
(2) +m+=+3j+
(3) +t+%2B+m+%2B+j+=+210+
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Substitute (1) and (2) into (3)
(3) +2j+%2B+3j+%2B+j+=+210+
(3) +6j+=+210+
(3) +j+=+35+
and
(1) +t+=+2j+
(1) +t+=+2%2A35+
(1) +t+=+70+
and
(2) +m+=+3j+
(2) +m+=+3%2A35+
(2) +m+=+105+
Ted weighs 70 lbs
Julie weighs 35 lbs
Mike weighs 105 lbs
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check:
(3) +t+%2B+m+%2B+j+=+210+
(3) +70+%2B+105+%2B+35+=+210+
(3) +210+=+210+
OK