Chapter 6.1, Problem 41E

To determine

To calculate: A ratio for the number of goldfish to the total number of fish.

Answer to Problem 41E

Ratio for the number of goldfish to the total number of fish is $1:3$ .

Explanation of Solution

Given information:

An aquarium has twice as many angelfish as goldfish.

The aquarium contains only angelfish and goldfish.

Calculation:

To calculate the ratio for the number of goldfish to the total number of fish, assume the number of goldfish to be $x$ . Since the aquarium has twice as many angelfish as goldfish, the number of angelfish will be $2x$ . As the aquarium contains only angelfish and goldfish, the total number of fishes in the aquarium= $2x+x=3x$

Ratio for the number of goldfish to the total number of fish can be written as:

  $\begin{array}{l}\frac{\text{Number of goldfish}}{\text{Total number of fish}}\\ \Rightarrow \frac{x}{3x}\left[\text{Divide the common units}\right]\\ \Rightarrow \frac{1}{3}\end{array}$

The ratio can also be written as $1:3$ .