In my coaching institute there are a total 170 students and they use different vehicles for transportation viz. Bike, Car and Taxi.
The ratio of students using all 3 vehicles to students using at least 2 vehicles is 2 : 9. The ratio of students using only one vehicle to students using at least 2 vehicles is 8 : 9.
Number of students using car only exceeds number of students using bike only by 14.
Number of students using taxi only exceeds number of students using bike only by 12.
Number of students using taxi, bike, car is 90, 93, 97 respectively.

Find: The number of students using all three vehicles; the number of students using no more than one vehicle; the number of students using exactly two vehicles and the number of students who are using both bike and car but not taxi.