SOLUTION: Mike has a large tropical fish collection. He gives 2/3 of his fish to the high school. Then he gives 2/5 of the remaining fish to the elementary school. In the end, he has 30 fish

Question 934484: Mike has a large tropical fish collection. He gives 2/3 of his fish to the high school. Then he gives 2/5 of the remaining fish to the elementary school. In the end, he has 30 fish left. how many fish did he have at first?
3/5 = 30; 3 units = 30
1 unit = 10
5 units = 50
50*3 = 150 fishes originally
Please show me how to do this problem algebraicaly.

Found 2 solutions by Fombitz, josmiceli:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
OK, originally he had .
He gave the high school which leaves him with
He gave to the elementary school which leaves him with .

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of fish he started with
He gives of his fish to the high school.
That means he has left
--------------
he gives of the remaining fish to the elementary school.
goes to the elementary school
--------------
He has fish left
This is telling you that:

is the number of fish he has left and

He started with 150 fish
----------------------
check:
goes to the high school
He has left
goes to the elementary school
He has left
OK

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