Amateur boxers can only compete with boxers of the same weight.
Two amateur boxers have weights in the ratio 2.5: 3.
Their total weight is 165 kg.
the table below shows the 3 weight categories and the weight of the boxer.
|heavy weight||81-91 kg|
|average weight||75-81 kg|
|low weight||69-75 kg|
Can boxers face each other?
Let the two wieghts be w1 and w2.
w1/w2 = 2.5/3 (1)
w1 + w2 = 165 (2)
from (1) we have w1 = 2.5*w2/3 (3)
Put (3) in (2)
2.5/3*w2 + w2 = 165 or w2 = 165*3/5.5 = 90
Put this into (2) w1 + 90 = 165 so w1 = 75
You can decide if they can face each other!