Ratio

Introduction

Introduction ratios

Babalwa Fibi

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Everyone likes to save money by purchasing something at a reduced price. Because merchants realize that a reduced price may entice a prospect buyer to buy on impulse or to buy at one store rather than another, they offer discounts and other price reductions. These discounts are often expressed as a percent off of the regular price.

When the Acme Grocery offers a 25% discount on frozen vegetables and the Shop Rite Grocery advertises "Buy four, get one free", the price -conscious shopper must decide which is the better offer if she intends to buy five packages of frozen vegetables. 

In this chapter, you will learn how ratios, and percent's which are a special type of ratio, are used in many everyday problems.

RATIOS are used, typically, to compare two like quantities. For example, if there are 13 males
and 17 females, then the ratio of males to females is 13 to 17.

How to write a ratio.
Ratios can be written in three different ways. In the above example of 13 males to 17 females,
1. In words: 13 to 17.
2. As a fraction 13/17
3. Using a colon: 13 : 17

The links below is a visual aid for the lesson Ratios. Follow the video and go through the content to gain more knowledge on the topic and complete the task.

https://www.bing.com/videos/search?q=ratios&&view=detail&mid=F2AD93E7BFD87602AA94F2AD93E7BFD87602AA94&&FORM=VRDGAR

https://www.bing.com/videos/search?q=ratios&&view=detail&mid=BA7FDF3D9DE1F8DC3BEDBA7FDF3D9DE1F8DC3BED&&FORM=VRDGAR&ru=%2Fvideos%2Fsearch%3Fq%3Dratios%26FORM%3DHDRSC4

https://www.bing.com/videos/search?q=ratios&&view=detail&mid=8205CD4180CC8707A1808205CD4180CC8707A180&&FORM=VRDGAR&ru=%2Fvideos%2Fsearch%3Fq%3Dratios%26FORM%3DHDRSC4

Image result for ratios

Task

Complete the task below on probability:

Question 1 [12]

Simplify the following ratios:

1.1  12:960 1.2  140:24 1.3    12,3 : 6,6
1.4 12 seconds: 1 Hour  1.5   15 cm: 0.65 m 1.6     12 Boys: 36 Girls

Question 2 [2]

Daniel earns R15 000 per month more than his wife, Andrea, who earns R10 000 per month. Give the ratio of Daniel's income to Andreas 's income.

Question 3 [2]

Sally an David's height are in the ratio 5:7. If David is 189 cm tall, how tall is Sally?

Question 4 [2]

A company has two shareholders who invested R300 000 and R500 000, respectively, in the company. The company's annual return of R1 200 000 must be shared according to the shareholder's investment ratio. How much does each shareholder receive? 

Question 5 [12]

Complete this table:

Ratio Fraction Decimal Percentage

                1:5

                      
 

                 7/8

   
   

                   0.65

 
     

              240%

 

Question 6 [12]

Write each of the following ratios in lowest terms in 3 different ways.

1. 18 males to 45 females

2. 91 children to 52 adults

3. 1 pound to 12 ounces

4. 2 feet to 28 inches
5. 4 yards to 15 feet
6. 2 minutes to 36 seconds

 

 

 

Process

Step 1:

  • Read the introduction thoroughly 
  • Click on the links and watch the video

Step 2:

  • Click on the link and go through content on Ratio
  • Revise the content
  • Practice Ratio

Step 3:

  • Complete the activity provided from question 1-6
  • A rubric is provided that needs to be followed 
  • Complete the answers on a clean page and scan or take a picture of your answers
  • Show all calculations
  • Include name and surname

Step 4:

Evaluation

 

Todays work will be graded using the following rubric:

Question 1 1.1  [2 marks] 1.2  [2 marks] 1.3  [2 marks] 1.4  [2 marks] 1.5  [2 marks] 1.6  [2 marks] 
Question 2   [2 marks]          
Question 3   [2 marks]          
Question 4   [2 marks]          
Question 5   5.1  [2 marks] 5.2  [2 marks] 5.3  [2 marks] 5.4  [2 marks] 5.5  [2 marks] 5.6  [2 marks]
Question 6  6.1  [2 marks]  6.2  [2 marks]  6.3  [2 marks]  6.4  [2 marks]  6.5  [2 marks] 6.6  [2 marks]

 

 

Question 1 [12 marks]

Question 2 [2 marks]

Question 3 [2 marks]

Question 4 [2 marks]

Question 5 [12 marks]

Question 6 [12 marks]

 

 

Conclusion

Once you are finished you will be able to:

• To demonstrate an understanding of rates and ratios.

• To simplify both rates and ratios.

• To change rates to new units using unit conversions.

• To use equivalent ratios to solve problems including map scales.

• To share an amount using ratios

See the source image

Credits
Teacher Page

This WebQuest was created by Babalwa Fibi, a Mathematics Literacy student at  CPUT. Its purpose is to guide students in their ability to compare two like quantities by using ratios.