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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?

 Jan 10, 2021
 #1
avatar+31514 
+2

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!

 Jan 10, 2021
 #2
avatar+53 
+1

thank you very much!

helloguys  Jan 10, 2021

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