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The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? 

 Feb 24, 2020
 #1
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+1

Let the number of green fish =G
The number of yellow fish      =G - 6

0.4[G + G - 6] = G - 6, solve for G
G = 18 number of green fish


Check:
18 - 6 = 12 yellow fish.
18 + 12 = 30 fish in total
40% x 30 =12 number of yellow fish.

 Feb 24, 2020
 #2
avatar+111433 
+2

Let  the  number  of green fish  = G

Then the  number of yellow fish =  G - 6

The total  fish in the tank =   G + G  - 6 =   2G  - 6

And 40% of these are  yellow ....so....

 

Yellow fish                     G - 6

 ________   =               ______  =  .40                 multiply  both  sides  by  2G - 6

  Total fish                      2G - 6

 

 

G - 6  =  .40 (2G - 6)  simplify

 

G  - 6  =   .8G  -  2.4          add6 to  both sides.....subtract     .8G  from  both  sides

 

.2G = 3.6     divide  both  sides  by  .2

 

G = 18    fish are  green           

 

 

cool cool cool

 Feb 24, 2020

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