A tourist group stays in a hotel. If there are five people in each room, there are four people who have no place to live. If there are six people in each room, there is only one room with four people and three rooms vacant Find the number of rooms and the number of the tour group. Use the quadratic equation to do the application solution

A tourist group stays in a hotel. If there are five people in each room, there are four people who have no place to live. If there are six people in each room, there is only one room with four people and three rooms vacant Find the number of rooms and the number of the tour group. Use the quadratic equation to do the application solution


Set the room as X and the number of people as y
5x+4=y
6(x-4)+4=y
5x+4=6x-24+4
24=x
y=124



A hotel has three kinds of guest rooms for tourists, including two rooms, three rooms and four rooms. A tour group of 20 people is going to rent seven of these three kinds of guest rooms at the same time
A hotel has three kinds of guest rooms for tourists to live in, including two rooms, three rooms and four rooms. A tour group of 20 people is going to rent seven of these three kinds of guest rooms at the same time. If each room is full, how many kinds of rental schemes are there


There are x rooms for two, y rooms for three and Z rooms for four
x+y+z=7;
2x+3y+4z=20;
We obtain: x = Z + 1; y = 6-2z (Note: Y > = 0);
Method 1: x = 2; y = 4; Z = 1;
Method 2: x = 3; y = 2; Z = 2;
Method 3: x = 4; y = 0; Z = 3; (if Y > 0, remove this item!)
over!



The tour group of 50 people to a hotel accommodation, hotel rooms have three, two, single three
Among them, three rooms are 20 yuan per night, two rooms are 30 yuan per night, and single rooms are 50 yuan per night. For example, the tour group has a total of 20 rooms. How many rooms are there in each of the three rooms? How can we get the lowest cost?
To write process ==


Is it a sharp turn of the brain?
A total of 1000 yuan for all single rooms
The other two are 60 rooms, and there is no limit on the number of people, only the room limit



A hotel room department has three rooms and double rooms. The charge is 150 yuan and 140 yuan respectively
The first order equation of one variable is used to solve the equation
There are three rooms and double rooms in the room department of a hotel. The charge is 150 yuan and 140 yuan respectively
In order to attract tourists, 50% discount will be implemented for group stay. A group of 50 people will come to the hotel to stay. There are some rooms in both kinds of rooms, and they are just full. The total cost is 1510 yuan. How many rooms are there in each kind of rooms?


Answer: there are 8 triple rooms and 13 double rooms. If there are x triple rooms, the double room is (50-3x) / 2, and because of a 50% discount, the equation is: 75X + (50-3x) / 2 * 70 = 1510, 75X is the money for three rooms, 50-3x is the number of people living in double rooms, (50-3x) / 2 is the number of rooms in double rooms, and (50-3x) / 2 * 70 is the money for double rooms