The following table presents the findings of a survey into how people travel to work:
| Number of People Travelling to Work by |
|||
| Cycle | Car | Bus | Walk |
| 72 | 18 | 35 | 55 |
Note: (a) 1 in 8 of the people who cycled to work were found to be over 65 years of age
(b) 1 in 3 of the Cyclists stated that they travelled to work by bus on rainy days. Based on the above, answer the question:
Which of the following statements is true?
Correct Answer :
Slightly fewer than twice as many people indicated that they travelled to work by bus than by car.
Solution :
The correct option is: Slightly fewer than twice as many people indicated that they travelled to work by bus than by car.
Let us analyze the data given in the table for each mode of transport:
- Number of people travelling by Cycle = 72
- Number of people travelling by Car = 18
- Number of people travelling by Bus = 35
- Number of people travelling by Walk = 55
We need to compare the number of people who travel by bus (35) to those who travel by car (18).
First, let us calculate what "twice as many people as those travelling by car" would be:
The actual number of people who travel by bus is 35.
Comparing these two values:
Since 35 is slightly less than 36, the number of people who travel by bus (35) is slightly fewer than twice the number of people who travel by car (18).
Therefore, the statement "Slightly fewer than twice as many people indicated that they travelled to work by bus than by car" is mathematically correct and true.
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