1. Yucai pupils go for a spring outing by car. If there are 65 people in each car, some 15 people can't take the car: if there are five more people in each car, there is just one more car. How many cars are there? How many students are there?

Suppose a * * * has a car X.

65X+ 15=(65+5)*(X- 1)

X= 17

That is, * * has 17 cars, and the students are: 65 *17+15 =1120 people.

2. A school participated in the Six-One Cup Primary School Mathematics Competition, and several examination rooms were originally scheduled. If two examination rooms are added, each examination room will just sit 24 people; If two examination rooms are reduced, each examination room will sit exactly 30 people. How many students took part in the competition?

Suppose the original examination room is X.

24*(x+2)=30*(x-2)

x= 18

That is, * * has 24*( 18+2)=480 people.