Consider the following questions: A): Five wheel rotations on a bike takes you 12 yards. How many wheel rotations will be required to go 60 yards? B): In a college, 5 out of every 8 seniors live in apartments. Out of 30 seniors how many are likely to live in apartment? C): John and Lisa were walking at the same speed. Lisa started first. When Lisa has walked 6 blocks, john has walked 2 blocks. How many blocks would John cover when Lisa has covered 12 blocks. Choose the correct option.
Consider the following questions: A): Five wheel rotations on a bike takes you 12 yards. How many wheel rotations will be required to go 60 yards? B): In a college, 5 out of every 8 seniors live in apartments. Out of 30 seniors how many are likely to live in apartment? C): John and Lisa were walking at the same speed. Lisa started first. When Lisa has walked 6 blocks, john has walked 2 blocks. How many blocks would John cover when Lisa has covered 12 blocks. Choose the correct option. Correct Answer Both questions (A) and (B) are an example of questions based on proportional thinking.
Proportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other. Proportions are denoted using the symbol "::" or "=".Proportional thinking should be developed in children because it is also useful in daily life.Key Points
- In question A it is given that Five wheel rotations on a bike take you 12 yards and the number of wheel rotations will be required to go 60 yards is asked. Here if we observe several wheel rotations are proportional to the number of yards, Here as the number of yards is increasing from 12 to 60 hence the number of wheel rotations will also increase in the same proportion.
- In question B it is given that 5 out of every 8 seniors live in apartments and out of 30 seniors how many are likely to live in an apartment is asked here also the number of total seniors is increasing from 8 to 30 so the number of seniors living in the apartments will also increase in the same proportion.
Hence Both questions (A) and (B) are an example of questions based on proportional thinking. Additional Information
On the other hand in question C though John and Lisa were walking at the same speed Lisa started first so here this is not related to proportional thinking as Lisa and John don't cover the distance in equal proportion.