I got this answer wrong. I thought it was 55% but it seems the answer is different. Please can you have a look at this and tell me where have I gone wrong and it should be. Thanks in advance.
Q) Approximately what proportion of the total number of seats in all Buses and Trains are empty?
EDITED - I FORGOT TO INCLUDE MULTPLY CHOICES
A) 45% B) 50% C) 55% D) 60% E) 65%
*Assume For Buses*
Average No of Vehicles per Day (000's) = 112
Average Distance Travelled by one Vehicle per Day (km) = 57
Average No of Seats = 55
Average Occupancy (%) = 57
*Assume For Trains*
Average No of Vehicles per Day (000's) = 89
Average Distance Travelled by one Vehicle per Day (km) = 108
Average No of Seats = 430
Average Occupancy (%) = 44
The steps I took are the following...
Step 1- Find total seats for Buses and Trains == 55 + 430 = 485
Step 2 - Find number of empty seats for Buses == 100 - 57 = 43.
55 * 0.43 = 23.65
Step 3 - Find number of empty seats for Trains == 100 - 44 = 56.
430 * 0.56 = 240.8
Step 4 - 23.65 + 240.8 = 264.45.
Step 5 - 264.45 / 485 = 0.5452 * 100 = **55%**
EDITED STILL NOT GETTING THIS RIGHT
2nd attempt
for buses
112000 * 55 / 112000 * 43 = 616000 / 48160000 = 0.127906976
for trains
89000 * 430 / 89000 * 56 = 38270000 / 4984000 = 0.76785714
0.127906976 + 0.76785714 / 485 = 7.806478405/ 485 = 0.016095831 < this is wrong
3rd attempt
for buses
112000 * 55 / 112000 * 0.43 = 616000 / 48160 = 12.79069767
for trains
89000 * 430 / 89000 * 0.56 = 38270000 / 49840 = 76.78571429
12.79069767 + 76.78571429 = 89.57641196 / 485 = 0.184693632 < this is wrong