# WRITING RATIOS

## About "Writing ratios"

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.

## Writing ratios - Examples

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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