Out of a class of 64 people ,7 people of average weight 61 kg leave, and immediately 3 people weighing 70kg ,77 kg and 68 kg join. there by making the new average weight of the class 69 kg. What was the original average weight of the class of 64 people?Options7068905967
Question
Out of a class of 64 people ,7 people of average weight 61 kg leave, and immediately 3 people weighing 70kg ,77 kg and 68 kg join. there by making the new average weight of the class 69 kg. What was the original average weight of the class of 64 people?Options7068905967
Solution
To solve this problem, we need to follow these steps:
-
First, we need to calculate the total weight of the class after the changes. This is done by multiplying the new average weight by the total number of people in the class. So, 69 kg (new average weight) * 60 people (new total number of people) = 4140 kg.
-
Then, we need to subtract the weight of the 3 new people who joined the class. So, 4140 kg - 70 kg - 77 kg - 68 kg = 3925 kg.
-
Now, we need to add back the weight of the 7 people who left the class. So, 3925 kg + 7 people * 61 kg (average weight of the people who left) = 4257 kg.
-
Finally, we can find the original average weight of the class by dividing the total weight by the original number of people. So, 4257 kg / 64 people = 66.515625 kg.
So, the original average weight of the class of 64 people was approximately 67 kg.
Similar Questions
The average weight of a certain number of students in a group is 72 kg. If 10 students having an average weight of 78 kg leave and 4 students having an average weight of 80 kg join the group, the average weight of the students in the decreases by 0.7 kg. The number of students initially in the group is?
The average weight of 4 people was 60 kg. If a new person joins them, the average weight becomes 65 kg. How many kilograms does the new person weigh? Options 85kg 65kg 55kg 75kg
The average weight of a group of 5 people is 60 kg. If a person weighing 75 kg joins the group, what will be the new average weight?
The average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 72 kg. What might be the weight of the new person ?*1 point70 kg75 kg100 kg85 kg
the average weight of 8 men is increased by 1.5 kg when one of the men weigh 65 kg is replaced by new man what is he weight of the new man
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.