Que 6: When a student weighing 45 kg left a class, the average weight ...
Given data:
- A student weighing 45 kg left a class.
- The average weight of the remaining 59 students increased by 200g.
To find: Average weight of the remaining 59 students.
Solution:
Let the average weight of the original class be 'x'.
Total weight of the original class = x * 60 (60 students in total)
When the student weighing 45 kg left the class, the total weight of the remaining 59 students became:
x * 59 + (x + 0.2) * 59 = x * 60
[Adding the weight of the student who left to the weight of the remaining 59 students would give the total weight of the original class]
Simplifying the above equation, we get:
59x + 11.8 = 60x
x = 11.8
Therefore, the average weight of the original class was 11.8 kg.
When the student weighing 45 kg left, the total weight of the remaining 59 students became:
11.8 * 59 + (x + 0.2) * 59 = 12.8 * 59
[Using the average weight of the original class, we can find the total weight of the remaining 59 students]
Simplifying the above equation, we get:
x + 0.2 = 57
x = 56.8
Therefore, the average weight of the remaining 59 students is 56.8 kg.
Hence, the correct answer is option (1) 57 kg.
Que 6: When a student weighing 45 kg left a class, the average weight ...
Let x= Total weight of 59 students
y= Average weight of 60 students
(x+45)/60 = y ---- equation 1
x/59 = y+0.2 ---- equation 2
Solving both equations we get y= 56.8
Average weight of 59 students = y+0.2 = 56.8 + 0.2 = 57 kg