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On my ping-pong team there are four times as many right-handed boys as left-handed boys. Of the students on the team who are left-handed, there are three times as many girls as there are boys. Half of the girls who are on the team are left-handed. If there are 38 people on the team, how many are right-handed boys?

 Nov 20, 2020
 #1
avatar+114442 
+1

RB  + LB  +  RG  +  LG  =   38

 

RB  = 4LB

LG  = 3LB

If half of the girls are left-handed, then the other half are right - handed

So LG = RG

 

 

I don't believe  that there is an answer to this

 

The number of LG  must be divisible by 3  so that the number of LB is an integer

 

   LG    RG     LB      RB              Total

     3       3        1        4                 11

     6       6        2        8                 22

     9       9        3      12                 33

   12      12       4      16                 44       too many !!!!   

 

 

cool cool cool                 

 Nov 21, 2020
 #2
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+1

Here is the same question posted Apr. 29, 2018 and is markedly different from this post and it appears solvable:

 

On my ping-pong team there are four times as many right-handed boys as left-handed boys. Of the students on the team who are left-handed, there are twice as many girls as there are boys. Half of the girls who are on the team are left-handed. If there are 36 people on the team, how many are right-handed boys?

wiskdls Apr 29, 2018

 

 LG    RG     LB      RB              Total

     2       2        1        4                    9

     4       4        2        8                  18

     6       6        3      12                   27

     8       8       4      16                   36  

 Nov 22, 2020

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