Mike has a large tropical fish collection.He gives 2/3 of his fish to a local high school. Then gives 2/5 of the remaining fish to an elementary school. In the end, he has 30 fish left. How many fish did mike have at first.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Mike has a large tropical fish collection.

Let the number of fish that Mike has be X.

He gives `2/3` of his fish to a local high school. The number of fish remaining with him is `(1 - 2/3)*X = X/3`

Then, he gives `2/5` of the remaining fish to an elementary school. The number remaining with him now is `(X/3)*(1 - 2/5)` = `(X/3)*(3/5) = X/5`

He has 30 fish left finally. `X/5 = 30`

=> X = 150

Mike had 150 fish to start with.

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial