SOLUTION: A clown weighs 60lbs. more than a trapeze artist. The trapeze artist weighs two thirds as much as the clown. How much does each weigh? you have to make an eqation using this da

Algebra ->  Expressions-with-variables -> SOLUTION: A clown weighs 60lbs. more than a trapeze artist. The trapeze artist weighs two thirds as much as the clown. How much does each weigh? you have to make an eqation using this da      Log On


   

Question 7786: A clown weighs 60lbs. more than a trapeze artist. The trapeze artist weighs two thirds as much as the clown. How much does each weigh?
you have to make an eqation using this data.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let C be the clown's weight and T be the trapeze artist's weight.
Then: C+=+T+%2B+60 and T+=+%282%2F3%29C
Substitute the second equation into the first equation and solve for C.
C+=+%282%2F3%29C+%2B+60 Simplify and solve for C. Subtract (2/3)C from both sides.
%281%2F3%29C+=+60 Multiply both sides by multiplicative inverse of 1/3, or 3.
C+=+180+lbs This is the clown's weight.
The trapeze artist weighs (2/3)C = (2/3)180 lbs = 120 lbs.