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? Choice for the weight of the trapeze artist: 11

Question 214757: 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? Choice for the weight of the trapeze artist: 110, 120, 125.
Found 2 solutions by rfer, drj:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
60 lbs is 1/3 the total, so artist weighs 120 lbs
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
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? Choice for the weight of the trapeze artist: 110, 120, 125.

Step 1. Let x be the weight of the trapeze artist and x+60 is the weight of the clown.

Step 2. Trapeze artist weights two thirds as much as the clown.

Step 3. Solving equation in Step 2 yields

Multiply by 3 to both sides of equation to get rid of denominator

Subtract 2x to both sides of equation

Then weight to clown is

Step 4. Weight of trapeze artist is 120 pounds and weight of clown is 180 pounds.

Step 5. ANSWER: Trapeze artist weighs 120 pounds.

I hope the above steps were helpful.

For free Step-By-Step Videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
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