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Kaspar has a total of 100 red and green jelly beans. Three times the number of red, decreased by 3 equals double the number of green, increased by 2. How many of each colour are there?

 Mar 18, 2021
 #1
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R + G =   100      ⇒  G =  100  - R      (1)

 

R - 3  =   2G  + 2          (2)

 

Sub (1)  into (2)

 

R - 3  =  2(100 - R  + 2)    simplify

 

R - 3 =  200 - 2R  + 4

 

R - 3  =  204  - 2R

 

R + 2R  = 204  + 3

 

3R =  207

 

R =  207 / 3     =    69            

 

G =  100  - 69  =   31 

 

cool cool cool

 Mar 18, 2021

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