SOLUTION: A 98 centimeter board is cut into three pieces. The first piece is twice as long as the third piece. The second piece is one-half as lon as the third piece. How long is each piece?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A 98 centimeter board is cut into three pieces. The first piece is twice as long as the third piece. The second piece is one-half as lon as the third piece. How long is each piece?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 988330: A 98 centimeter board is cut into three pieces. The first piece is twice as long as the third piece. The second piece is one-half as lon as the third piece. How long is each piece?
Found 2 solutions by solver91311, macston:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




John

My calculator said it, I believe it, that settles it

Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
T=third piece; S=second piece=0.5T; F=first piece=2T
.
F+S+T=98cm
2T+0.5T+T=98cm
3.5T=98cm
T=28cm ANSWER 1: The third side is 28 cm.
.
F=2T=2(28cm)=56cm ANSWER 2: The first side is 56 cm.
S=0.5T=0.5(28cm)=14cm ANSWER 3: The second side is 14 cm.