Question

The ratio of bass to catfish in the pond is 54:150. Which statement describes this relationship?
Responses
A There are 6 bass for every 25 catfish in the pond.There are 6 bass for every 25 catfish in the pond.
B There are 9 bass for every 15 catfish in the pond.There are 9 bass for every 15 catfish in the pond.
C There are 9 bass for every 25 catfish in the pond.There are 9 bass for every 25 catfish in the pond.
D There are 25 bass for every 9 catfish in the pond.There are 25 bass for every 9 catfish in the pond.

Answer 1

To analyze the ratio of bass to catfish, which is given as 54:150, we can simplify this ratio.

First, find the greatest common divisor (GCD) of 54 and 150.

- The factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54.
- The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150.

The GCD of 54 and 150 is 6.

Now, divide both parts of the ratio by the GCD (6):

- Bass: \( \frac{54}{6} = 9 \)
- Catfish: \( \frac{150}{6} = 25 \)

Thus, the simplified ratio of bass to catfish is 9:25.

This means that there are 9 bass for every 25 catfish in the pond.

The correct response that describes this relationship is:

**C** There are 9 bass for every 25 catfish in the pond.