Question

Учащиеся трех седьмых классов поехали на экскурсию за город в трех автобусах. В третьем автобусе сидело на 5 учеников меньше, чем в первом, и на 4 человека больше,чем во втором.Сколько Учеников сидело в каждом автобусе,если всего на экскурсию поехали 67 учеников?

Answer 1

x -  в третьем автобусе

(x+5)+(x-4)+x=67;

3x=66;

x=22

в 3ем - 22 ученика

во 2ом - 22-4=18

в 1ом - 22+5=27

 

 

Answer 2

Calculating the Number of Students in Each Bus

To calculate the number of students in each bus, we can use the information provided in the question and the total number of students on the excursion.

Let's denote: - The number of students in the first bus as x - The number of students in the second bus as y - The number of students in the third bus as z

We know that: 1. z = y - 5 2. z = x + 4 3. x + y + z = 67

We can use these equations to solve for the values of x, y, and z.

Solving for the Number of Students in Each Bus

Using the given equations, we can solve for the number of students in each bus.

1. From equation (1): z = y - 52. From equation (2): z = x + 43. From equation (3): x + y + z = 67 By substituting the value of z from equation (1) into equation (2), we get: y - 5 = x + 4

Solving for y in terms of x, we get: y = x + 9

Substituting the value of z from equation (1) into equation (3), we get: x + y + (y - 5) = 67

Substituting the value of y from the previous equation, we get: x + (x + 9) + ((x + 9) - 5) = 67

Solving for x: 3x + 13 = 67 3x = 54 x = 18

Substituting the value of x back into y = x + 9, we get: y = 18 + 9 y = 27

Substituting the values of x and y into z = y - 5, we get: z = 27 - 5 z = 22

Conclusion

Therefore, there were 18 students in the first bus, 27 students in the second bus, and 22 students in the third bus during the excursion.