Nanette goes fishing. Of the fish Nanette catches, 2/3 are catfish. She catches 12 fish that are not catfish. Which equation and solution represent the total number of fish, x, Nanette catches?

36 fishes

Step-by-step explanation:

Step 1

Nanette goes fishing. Of the fish Nanette catches, 2/3 are catfish.

Let the total fraction of fish = 1

The fraction of fish that is not catfish is

1 - 2/3

= 1/3

Step 2

She catches 12 fish that are not catfish.

Let the total number of catfish = x

Hence,

1/3 × x = 12

Equation is given as:

x/3 = 12

Cross Multiply

x = 3 × 12

x = 36 fishes

The the total number of fish, x that Nanette catches is 36 fishes