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)
[tex]--------------------------------------------[/tex]
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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