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:

The sum which modes of travelling to work represents half the number of responses represented in the survey?

A) Cycle and Car

B) Bus and Car

C) Walk and Bus

D) Walk and Cycle

Choose the correct answer from the options given below:

The correct answer is A and C Only.

Let's break down the solution step-by-step to understand why this option is correct.

Step 1: Calculate the total number of people surveyed
First, we find the total number of survey responses by adding the number of people in each mode of travel from the table:
- Cycle: 72
- Car: 18
- Bus: 35
- Walk: 55

$$\text{Total Responses}=72+18+35+55=180$$

Step 2: Find the target value (half of the total responses)
The question asks for the combination of modes that represents exactly half of the total responses:

$$\text{Half of the Responses}=\frac{180}{2}=90$$

We need to check which of the given options (A, B, C, D) sum to 90.

Step 3: Evaluate each combination
Let's calculate the sum for each option:
- Option A (Cycle and Car):
$72+18=90$ (This represents exactly half of the responses).
- Option B (Bus and Car):
$35+18=53$.
- Option C (Walk and Bus):
$55+35=90$ (This also represents exactly half of the responses).
- Option D (Walk and Cycle):
$55+72=127$.

Conclusion:
Only the combinations in A (Cycle and Car) and C (Walk and Bus) sum to 90. Therefore, the correct option is "A and C Only".