**Writing ratios :**

A ratio is a comparison of two quantities. It shows how many times as great one quantity is than another.

For example, the ratio of star-shaped beads to moon-shaped beads in a bracelet is 3 to 1. This means that for every 3 star beads, there is 1 moon bead.

The numbers in a ratio are called terms. Suppose that in a pet store there are 5 dogs for every 3 cats. The ratio of dogs to cats is 5 to 3.

The terms of the ratio are 5 and 3. The ratio can also be written as follows.

5 dogs to 3 cats or 5 to 3 or 5 : 3 or 5/3

A ratio can compare a part to a part, a part to the whole, or the whole to a part.

**The number of dogs compared to the number of cats in an apartment complex is represented by the model shown.**

**Question 1 :**

Write a ratio that compares the number of dogs to the number of cats.

**Answer :**

1 : 5

**Question 2 :**

Complete the statement: In the apartment complex, there are __________ cats per dog.

**Answer :**

There are **5** cats per dog

**Question 3 :**

If there are 15 cats in the apartment complex, how many dogs are there ?

**Answer :**

Let "a" be the number of dogs for 15 cats.

There is 1 dog for 5 cats and "a" number of dogs for 15 cats.

So, we have

1 : 5 = a : 15

5 x a = 1 x 15 -----> a = 3

If there are 15 cats in the apartment complex, then 3 dogs will be there.

**Question 4 :**

How many cats are there if there are 5 dogs in the apartment complex ?

**Answer :**

Let "a" be the number of cats for 5 dogs.

There are 5 cats for 1 dog and "a" number of cats for 5 dogs.

So, we have

5 : 1 = a : 5

1 x a = 5 x 5 -----> a = 25

If there are 5 dogs in the apartment complex, then 25 cats will be there.

**The contents of Dana’s box of muffins are shown. Write each ratio in three different ways.**

**Question 5 :**

Banana nut muffins to corn muffins

**Answer :**

There are 2 banana nut muffins and 5 corn muffins

So, we have

2 banana nut muffins to 5 corn muffins, 2 : 5, 2/5

**Question 6 :**

Corn muffins to total muffins

**Answer :**

There are 5 corn muffins and 12 muffins in total

So, we have

5 corn muffins to 2 total muffins, 5 : 2, 5/2

**Kaine's videos collection is shown. **

**Question 7 :**

Write the ratio of comedies to dramas in three different ways.

**Answer :**

There are 8 comedies and 3 dramas.

So, we have

8 comedies to 3 dramas, 8 : 3, 8/3

**Question 8 :**

Write the ratio of dramas to total videos in three different ways.

**Answer :**

There are 3 dramas and 14 total videos.

So, we have

3 dramas to 14 total videos, 3 : 14, 3/14

**8 cups made by party mix is shown. Write each ratio in three different ways.**

**Question 9 :**

Bagel chips to peanuts

**Answer :**

There are 3 bagel chips and 1 peanuts.

So, we have

3 bagel chips to 1 peanuts, 3 : 1, 3/1

**Question 10 :**

Cheese crackers to peanuts

**Answer :**

There are 1 cheese crackers and 1 peanuts.

So, we have

1 cheese crackers to 1 peanuts, 1 : 1, 1 : 1

After having gone through the stuff given above, we hope that the students would have understood "Writing ratios".

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