SOLUTION: A clown weighs 60lb more than a trapeze artist.the trapeze artist weighs two thirds as much as the clown.How much does each weigh. choices for the weigh of the trapeze artist.110,

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: A clown weighs 60lb more than a trapeze artist.the trapeze artist weighs two thirds as much as the clown.How much does each weigh. choices for the weigh of the trapeze artist.110,      Log On

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Question 98548: A clown weighs 60lb more than a trapeze artist.the trapeze artist weighs two thirds as much as the clown.How much does each weigh.
choices for the weigh of the trapeze artist.110,120,125
Answer by WannabeCAgirl83(35) About Me  (Show Source):
You can put this solution on YOUR website!
Here you go...

clown: c+=+t%2B60
trapeze artist: t=%282%2F3%29c
You cannot work with two variables. One of them has to "disappear" for you to be able to solve this.
As t is the same as %282%2F3%29c, you can substitue %282%2F3%29c for t as follows:
c+=+t%2B60 substitute for t...
c+=+%282%2F3%29c%2B60 multiply by LCD 3...
3c+=+2c%2B180 subtract 2c...
c+=+180 ---> The clown ways 180 lbs.
As the problem stated that the clown weighs 60 lbs more than the trapeze artist, you subtract 60 from 180 to get the weight for the trapeze artist: 120 lbs.