Question

45% of the fish in a pond are perch, 3/10 of the fish are carp and the rest of the fish are trout. Write the ratio of perch to carp to trout in this pond in its simplest form

Answer 1

To determine the ratio of perch to carp to trout, convert percentages to a common unit and simplify the ratio. The ratio simplifies to 9:6:5.

Step-by-step explanation:

To find the ratio of perch to carp to trout in the pond, we need to convert all quantities to the same unit (like percentages) and then simplify the ratio.

We know that 45% of the fish are perch and 3/10 (which is 30%) are carp. To find the percentage of trout, we subtract these values from 100%:

100% - 45% - 30% = 25%

So, trout make up 25% of the fish population.

Now, we express all these percentages as parts of 100 to find the simplest form of the ratio:

1. Perch: 45 (since 45% of 100 is 45)
2. Carp: 30 (since 30% of 100 is 30)
3. Trout: 25 (since 25% of 100 is 25)

We look for the greatest common divisor (GCD) of 45, 30, and 25, which is 5.

Dividing each part by 5:

• Perch: 45 / 5 = 9
• Carp: 30 / 5 = 6
• Trout: 25 / 5 = 5

Finally, the simplest form of the ratio of perch to carp to trout is 9:6:5.

Answer 2

The ratio of perch to carp to trout in the pond is 3:3:4, which is the simplest form. This means that for every 3 perch, there are 3 carp and 4 trout.