an aquarium had 50 goldfish and angel fish. After 2/5 of the goldfish and 1/2 the angel were sold, there were 27 goldfish and angel fish left. What was the ratio of the goldfish to the angel fish after the sale?

To find the ratio of goldfish to angel fish after the sale, we need to determine the number of goldfish and angel fish left in the aquarium.

Let's start by figuring out the number of goldfish and angel fish that were sold.

We know that 2/5 of the goldfish were sold. If there were initially 50 goldfish, we multiply this by 2/5:

2/5 * 50 = 20 goldfish were sold.

Next, we know that 1/2 of the angel fish were sold. Let's assume the number of angel fish initially is A. So we can calculate the number of angel fish sold:

1/2 * A = (A/2) angel fish were sold.

To determine how many goldfish and angel fish remained in the aquarium, we can subtract the number of fish sold from the initial total:

Remaining goldfish = Initial goldfish - Goldfish sold = 50 - 20 = 30 goldfish.
Remaining angel fish = Initial angel fish - Angel fish sold = A - (A/2) = A/2.

According to the problem, the total number of goldfish and angel fish remaining is 27. So we can set up an equation:

Remaining goldfish + Remaining angel fish = 27.

Substituting the values we found earlier:

30 + (A/2) = 27.

Now, we can solve for A:

A/2 = 27 - 30 = -3,
A = -6.

However, it doesn't make sense to have a negative number of angel fish. So we made an error in the calculations.

Please double-check the problem statement or provide additional information to correctly solve it.