Question

1) A basket of apples are given to a group of students. If 3 apples are given to each student, there will be 8 apples left. If 5 apples are given to each student, only one student get less than 5 apples. How many students are in the group?
2) A group of students will spend the night in a hotel, and certain number of rooms are booked. If 4 students are in each room, then 20 students have no room. If 8 students are in each room, then only one room is not full. How many rooms are booked?

Pls answer will give brainiliest to first who answers.

Answer 1

Answer:

1) either 5 or 6 students in the group

2) 6 rooms are booked

Step-by-step explanation:

1) x students  

3x + 8 = apples

5 (x-1) + y (the one get less than 5 apples)

3x + 8 = 5 (x - 1) + y

3x + 8 = 5x - 5 + y

2x + y = 13

X       1       2      3      4      5      6

Y       11      9      7      5      3       1

because y < 5 so x = 5 or x = 6

2) x rooms are booked

4x + 20   total students

8 (x-1) + y (the students in room not full))

4x + 20 = 8 (x-1) + y

4x + 20 = 8x - 8 + y

4x + y = 28

X       1       2      3      4      5      6

Y       24    20    16    12     8      4

y < 8 answer is 6 rooms