SOLUTION: HELP! Ana, Bob, and Chris will not disclose their weights but agree to be weighed in pairs Anna and Bob together weigh 226 pounds. Bob and Chris together weigh 210 pounds. Anna and

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: HELP! Ana, Bob, and Chris will not disclose their weights but agree to be weighed in pairs Anna and Bob together weigh 226 pounds. Bob and Chris together weigh 210 pounds. Anna and      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 130896This question is from textbook ALGEBRA FOR COLLEGE STUDENTS MARK DUGOPOLSKI
: HELP! Ana, Bob, and Chris will not disclose their weights but agree to be weighed in pairs Anna and Bob together weigh 226 pounds. Bob and Chris together weigh 210 pounds. Anna and Chris together weigh 200 pounds. How much does each student weigh?This question is from textbook ALGEBRA FOR COLLEGE STUDENTS MARK DUGOPOLSKI

Answer by fners(16) About Me  (Show Source):
You can put this solution on YOUR website!
eq1:A+B=226
eq2:B+C=210
eq3:A+C=200


eq3:A=200-C


Plug eq3 into eq1.
eq1:(200-C)+B=226
eq2:B+C=210


eq1:B=226-(200-C)=26+C


Plug eq1 into eq2.
eq2:(26+C)+C=210
26+2C=210
2C=210-26=184
C=184/2=92
should be easy from here.