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.

Answer 1

Y = number of yellow fish
G = number of green fish

Y = G - 6
Y = 0.40 * (Y+G)

G - 6 = 0.4*(G-6+G)
G - 6 = 0.4*(2G-6)
G - 6 = 0.8G -2.4
0.2G = 3.6
G = 3.6/0.2=18


There are 18 green fish.

Answer 2

The total number of green fish in the aquarium is 18 fishes

let

number of green fish = g

number of yellow fish = y

y = g - 6. (1)

y = 40% of (y + g)

y = 0.40(y + g) (2)

equate both equations

g - 6 = 0.40(y + g)

g - 6 = 0.40y + 0.40g

g - 6 = 0.40(g - 6) + 0.40g

g - 6 = 0.40g - 2.4 + 0.40g

g - 0.40g - 0.40g = -2.4 + 6

0.2g = 3.6

g = 3.6/0.2

g = 18

Therefore,

number of green fish = g

= 18

number of yellow fish = y

= g - 6

= 18 - 6

= 12 fishes

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