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Table presents a survey of how people travel to work. Note: one in eight cyclists were over 65 years of age, and one in three cyclists said they travelled by bus on rainy days.

ModeNumber of People
Cycle72
Car18
Bus35
On Foot55

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

1.Cycle and Car
2.Bus and Car
3.Walk and Bus
4.Walk and Cycle
A1 & 2 only
B1 & 3 only ✓ Correct
C2 & 3 only
D2 & 4 only
Correct answer: (B) 1 & 3 only
Explanation

The pairs that add to half are cycle and car, and walk and bus, so the answer is 1 and 3.

The total number of responses is 72 plus 18 plus 35 plus 55, which is 180.

So half of the responses is 90.

Cycle and car together are 72 plus 18, which is 90.

Walk and bus together are 55 plus 35, which is also 90.

So both these pairs each add up to half the total.

So the answer is items 1 and 3.

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