Question

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? Show your work.
Please explain using simple words : D

Answer 1

Answer: 18 green fish

Step-by-step explanation:

       We will write what we know using mathematical equations. Let y be yellow fish and g be green fish. Please note that a percent, 40%, divided by 100 becomes a decimal, 0.4.

-> The aquarium has 6 fewer yellow fish than green fish.

   y = g - 6

-> 40 percent of the fish are yellow.

   y = 0.4 * (y + g)

$--------------------------------------------$

       Now, we can solve them as a regular system of equations. First, we will find the number of green fish. There are 18, as shown by the work.

   y = 0.4 * (y + g)

   (g - 6) = 0.4 * ((g - 6) + g)

   g - 6 = 0.4 * (2g - 6)

   g - 6 = 0.8g - 2.4

   g = 0.8g + 3.6

   0.2g = 3.6

   g = 18

        There are 18 green fish in the aquarium.

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Answer 2

18 green fish

Y= g - 6

40 percent of the fish are yellow

Y = 0.4 * ( y + g )