Question

55% of the fish in a pond are goldfish,

10/3 of the fish are perch and the rest of the fish are sticklebacks.
Write the ratio of goldfish to perch to sticklebacks in this pond in its simplest form.

Answer 1

If 55% of the fish in the pond are goldfish, that would be 55/100 of the total number of fish. To express this as a fraction in its simplest form, we would divide the numerator and denominator by the greatest common divisor, 5. So, 55/100 simplifies to 11/20.

10/3 of the fish in the pond are perch, which in its simplest form is already in the form of 10/3.

The rest of the fish are sticklebacks, meaning the total number of goldfish, perch, and sticklebacks must add up to 100%. Therefore, to find the ratio of sticklebacks to goldfish and perch, we can subtract the percentage of goldfish and perch from 100%.

100 - 55 - (10/3) = 100 - 55 - 10/3 = 100 - 55 - (10/3) = 100 - 55 - (10*3/3) = 100 - 55 - 10 = 35.

So the ratio of goldfish to perch to sticklebacks in this pond is 11/20: 10/3: 35/100 in its simplest form.

Explanation: