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There are some colored rubber bands in a box. 3/8 of them ar blue, 1/4 of them are red and 5/6 of the remainder are yellow. There are 20 yellow rubber bands. Find the total number of rubber bands in the box.

 Apr 19, 2021
 #1
avatar+164 
+3

Blue -> 3/8 of the total 3/8

 

Red -> 1/4 of the total  1/4 = 2/8

 

Yellow -> 5/6 of the remainder 

 

Blue = 3/8

 

Red = 1/4 

 

the remainder 

 

1 - 3/8 - 1/4

 

1 - 3/8 - 2/8

 

 

Yellow = 5/6 * 3/8 = 5/16


5/16 -> 20

 

1/16 -> 20 / 5 = 4

 

16/16 = 4 * 16 = 64

 Apr 19, 2021
 #2
avatar+37146 
+3

1 box - 3/8 - 1/4  =  9/24         of which   5/6   are yellow

                                           9/24  *  5/6  *  t = 20        t = total bands

                                              t = 64 rubber bands in the box

 Apr 19, 2021

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