Select the correct answerOut 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?Options6890675970
Question
Select the correct answerOut 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?Options6890675970
Solution
To solve this problem, we need to use the formula for average weight, which is the total weight divided by the number of people.
Step 1: Calculate the total weight of the class after the changes. This is the new average weight times the new number of people, which is 69 kg * 60 people = 4140 kg.
Step 2: Subtract the weight of the 3 new people from the total weight. This gives us the total weight of the class before the 3 new people joined, which is 4140 kg - 70 kg - 77 kg - 68 kg = 3925 kg.
Step 3: Add back the weight of the 7 people who left. Their total weight is 7 people * 61 kg/person = 427 kg. So the total weight of the original class was 3925 kg + 427 kg = 4352 kg.
Step 4: Divide this total weight by the original number of people to find the original average weight. This is 4352 kg / 64 people = 68 kg/person.
So, the original average weight of the class of 64 people was 68 kg.
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