Question

The number of people using public transport increased by 15% between Year 1 and Year 2.

5,000 more people commuted to work in Year 2 than in Year 1.
41,400 commuters used public transport in Year 2.
189,000 commuters used private transport in Year 1.
Question
Arrange the number of people who commute to work (in '000s) and the private to public transport percentages.

Answer 1

The number of people who commute to work in Year 1 was 38,900. The private to public transport ratio is approximately 82.92% private and 17.08% public.

Step-by-step explanation:

To arrange the number of people who commute to work (in '000s) and the private to public transport percentages, we can use the given information. Let's denote the number of people using public transport in Year 1 as P1 and in Year 2 as P2. We can find P2:

P2 = P1 + 2500 (since 5000 more people commuted to work in Year 2 than in Year 1)

P2 = 41400 (given)

From the equation, we find P1:

P1 = P2 - 2500

P1 = 41400 - 2500

P1 = 38900

So, in Year 1, 38900 commuters used public transport. Now, we can calculate the private to public transport percentage:

Percentage of private transport = (189000 / (189000 + 38900)) * 100

= (189000 / 227900) * 100

= 82.92%