Answer:
Explanation:
a. Find the number of goldfish in the aquarium.
The ratio of goldfish to angelfish in the aquarium is 3:5, which means that there are 3 parts goldfish for every 5 parts angelfish. If the total number of goldfish and angelfish is 32, then there are 3/8 * 32 = 12 goldfish in the aquarium.
b. When some angelfish were added into the aquarium, the ratio of goldfish to angelfish became 4: 9. Find the number of angelfish that were added into the aquarium.
The new ratio of goldfish to angelfish is 4:9, which means that there are 4 parts goldfish for every 9 parts angelfish. If we let x be the number of angelfish that were added to the aquarium, then the number of angelfish in the aquarium is 5 + x. The total number of goldfish and angelfish in the aquarium is still 32, so we have the equation:
12 + x = 4/9 * (5 + x)
Solving for x, we get x = 8. Therefore, 8 angelfish were added to the aquarium.
Here is the summarized solution:
a. Number of goldfish in the aquarium: 12
b. Number of angelfish added to the aquarium: 8