To analyze the problem shown in the image, let's go through the details provided:

1. Details from the Question:

   • The number of people using public transport increased by 15% between Year 1 and Year 2.
   • 50,000 more people commuted to work in Year 2 than in Year 1.
   • 44,000 commuters used public transport in Year 2.
   • 189,000 commuters used private transport in Year 1.

2. Objective: Arrange the commuting numbers for each mode of transport (public vs. private) for both years based on the given information.

3. Solution Steps:

   • Since the public transport users increased by 15% from Year 1 to Year 2, let the number of public transport commuters in Year 1 be $x$.

     • Then $x \times 1.15 = 44,000$ (because 44,000 commuters used public transport in Year 2).
     • Solving for $x$: $x = \frac{44,000}{1.15} \approx 38,261$ So, approximately 38,261 people used public transport in Year 1.

   • Given there are 50,000 more commuters in Year 2 than in Year 1, the total commuters in Year 1 would be: $\text{Total Commuters in Year 1} = \text{Total Commuters in Year 2} - 50,000$ If we denote the total commuters in Year 2 as $T_2$, then: $T_2 = 38,261 + 189,000 + 50,000 \approx 277,261$ And: $\text{Total Commuters in Year 1} = 277,261 - 50,000 \approx 227,261$

4. Results Summary:

   • Year 1:
     • Public Transport: ~38,261
     • Private Transport: 189,000
   • Year 2:
     • Public Transport: 44,000
     • Private Transport: ~233,261