Understanding Ratios and Pet Numbers

The question asks for the ratio of the number of rabbits to the total number of pets Radhika owns. To find this ratio, we first need to identify the number of each type of pet and then calculate the total number of pets.

Here's the breakdown of Radhika's pets:

• Number of dogs: 2
• Number of rabbits: 3
• Number of parrots: 4

Calculating the Total Number of Pets

The total number of pets is the sum of the number of dogs, rabbits, and parrots.

\text{Total pets} = \text{Number of dogs} + \text{Number of rabbits} + \text{Number of parrots}

\text{Total pets} = 2 + 3 + 4

\text{Total pets} = 9

So, Radhika owns a total of 9 pets.

Determining the Ratio of Rabbits to Total Pets

A ratio compares two quantities. In this case, we need to compare the number of rabbits to the total number of pets.

\text{Ratio of rabbits to total pets} = \text{Number of rabbits} : \text{Total number of pets}

\text{Ratio} = 3 : 9

Simplifying the Ratio

Ratios are usually expressed in their simplest form. To simplify the ratio 3 : 9, we need to find the greatest common divisor (GCD) of 3 and 9 and divide both numbers by it. The GCD of 3 and 9 is 3.

\text{Simplified ratio} = (3 \div 3) : (9 \div 3)

\text{Simplified ratio} = 1 : 3

The ratio of the number of rabbits to the total number of pets Radhika owns is 1 : 3.

Comparing with the Options

Let's compare our calculated ratio with the given options:

• Option 1: 2 : 3 (This is the ratio of dogs to rabbits)
• Option 2: 1 : 3 (This matches our calculated simplified ratio of rabbits to total pets)
• Option 3: 3 : 1 (This is the inverse of the simplified ratio)
• Option 4: 3 : 2 (This is the ratio of rabbits to dogs)

The ratio 1 : 3 corresponds to Option 2.

Revision Table: Key Concepts

Additional Information: Understanding Ratios Further

Ratios are a fundamental concept in mathematics used to show how quantities relate to each other. They can compare parts to parts or parts to a whole. In this question, we compared a part (rabbits) to the whole (total pets).

• A ratio like 1:3 means that for every 1 rabbit, there are 3 total pets.
• Ratios can also be written as fractions. The ratio 1:3 can be written as $\frac{1}{3}$. This means the number of rabbits is one-third of the total number of pets.
• It's important to pay attention to the order in a ratio. The ratio of rabbits to total pets (1:3) is different from the ratio of total pets to rabbits (3:1).
• Ratios help us understand proportions and relationships between different quantities in a set or group.