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:

How many respondents indicated that they cycled to work and were over 65 years of age?

The correct option is 9.

Let's break down the step-by-step calculation to find the number of respondents who cycled to work and were over 65 years of age:

Step 1: Identify the total number of cyclists from the table.
From the given table, we look under the column labeled "Cycle" and find the corresponding number of people is 72.

Step 2: Apply the given condition for age.
Note (a) states that 1 in 8 of the people who cycled to work were over 65 years of age.

Step 3: Calculate the number of cyclists over 65 years of age.
To find 1 in 8 of the 72 cyclists, we multiply the total number of cyclists by 1/8:

$$\text{Number of cyclists over 65}=72\times \frac{1}{8}$$

$$\text{Number of cyclists over 65}=\frac{72}{8}=9$$

Therefore, 9 respondents indicated that they cycled to work and were over 65 years of age.