A group of people from a tour group arrived at a certain place to stay. If 3 people are accommodated in a room, 10 people cannot be accommodated; if 4 people are accommodated in a room, there will be

A group of people from a tour group arrived at a certain place to stay. If 3 people are accommodated in a room, 10 people cannot be accommodated; if 4 people are accommodated in a room, there will be 2 empty beds.

Answer: Question: (1) How many rooms does the total *** have? (2) How many people are there in the tour group?

Solution: (1) According to the question, the total number of rooms is assumed to be , the total number of people should be: (3X+10) people;

If every 4 people live in one room, there will be 2 empty beds, and the total number of people will be: (4X-2) people.

Then we can get the linear equation of one variable: 3X+10=4X-2

The solution is: X=12

(2) is in (1) It can be seen that the number of rooms *** is 12, then the total number of people in the tour group is: 3X+10=4X-2=46 people

Answer: The total number of rooms *** is 12 During the period, the number of people in the tour group was 46.