SOLUTION: Graph system : In order ofr Martia and Peggy to compete against each other during the swimming season next year they need to be in the same weight category. Martia weighs 180 and

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Question 401917: Graph system : In order ofr Martia and Peggy to compete against each other during the swimming season next year they need to be in the same weight category. Martia weighs 180 and plans to gain 2 lbs per week. Peggy weighs 250lbs and plan to lose 1 pounds per week. In which week will they weigh the same.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The key is that when they both hit the same weight, they both
will have been gaining and losing for the same number of weeks
Let w = that number of weeks
given:
180+%2B+2%2Aw+=+250+-+1%2Aw
------------------
3w+=+70
w+=+23.333
1/3 of the way through the 24th week they will weigh the same
check answer:
In 23.333 weeks, Martia will weigh 180+%2B+2%2A23.333+=+226.67
In 23.333 weeks, Peggy will weigh 250+-+1%2A23.333+=++226.67
OK