Answer :
The trapeze artist weighs 120 lb and the clown weighs 180 lb.
Let's denote the weight of the clown as C and the weight of the trapeze artist as T. According to the problem, the clown weighs 60 lb more than the trapeze artist. So, we can set up the first equation:
C = T + 60
The problem also states that the trapeze artist weighs two-thirds as much as the clown: T = [tex]\(\frac{2}{3}[/tex]C. Now we substitute the value of T from the first equation into the second one:
T = [tex]\(\frac{2}{3}\)(T + 60)[/tex]
Solving this equation:
3T = 2(T + 60)
3T = 2T + 120
T = 120 lb.
Now that we have the weight of the trapeze artist, we can find the clown's weight:
C = 120 + 60
C = 180 lb
Therefore, the trapeze artist weighs 120 lb and the clown weighs 180 lb.
