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The average weight of 8 staff is increased by 3kg when one of them whose weight is 50kg is replaced by a new staff. The weight of the new staff is
- a)50
- b)64
- c)76
- d)74
Correct answer is option 'D'. Can you explain this answer?
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The average weight of 8 staff is increased by 3kg when one of them who...
Answer – D)74 Explanation :50+(8*3) = 50 + 24 = 74.
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The average weight of 8 staff is increased by 3kg when one of them who...
Given:
- Average weight of 8 staff is increased by 3kg
- One staff member whose weight is 50kg is replaced by a new staff
To find:
- Weight of the new staff member
Solution:
Step 1: Calculate the total weight
- Let's assume the total weight of the 8 staff members before the replacement is T1.
- The average weight of the 8 staff members before the replacement is T1/8.
- The total weight of the 8 staff members after the replacement is T2.
- The average weight of the 8 staff members after the replacement is (T2+3)/8.
Step 2: Calculate the total weight before the replacement
- The total weight before the replacement can be calculated as (T1/8) * 8 = T1.
Step 3: Calculate the total weight after the replacement
- The total weight after the replacement can be calculated as ((T2+3)/8) * 8 = T2+3.
Step 4: Calculate the weight of the new staff member
- The weight of the new staff member can be calculated by subtracting the total weight before the replacement from the total weight after the replacement.
- Hence, the weight of the new staff member is (T2+3) - T1.
Step 5: Calculate the weight of the new staff member using the given information
- We know that the weight of the replaced staff member is 50kg, so the total weight before the replacement is T1 = 50kg * 8 = 400kg.
- We also know that the average weight after the replacement is (T2+3)/8.
- Hence, (T2+3)/8 = (400+3)/8 = 403/8 = 50.375kg.
- Therefore, the total weight after the replacement is T2+3 = 50.375kg * 8 = 402.5kg.
- Finally, the weight of the new staff member is (T2+3) - T1 = 402.5kg - 400kg = 2.5kg.
Conclusion:
- The weight of the new staff member is 2.5kg.
- Therefore, the correct option is (D) 74kg.
- Average weight of 8 staff is increased by 3kg
- One staff member whose weight is 50kg is replaced by a new staff
To find:
- Weight of the new staff member
Solution:
Step 1: Calculate the total weight
- Let's assume the total weight of the 8 staff members before the replacement is T1.
- The average weight of the 8 staff members before the replacement is T1/8.
- The total weight of the 8 staff members after the replacement is T2.
- The average weight of the 8 staff members after the replacement is (T2+3)/8.
Step 2: Calculate the total weight before the replacement
- The total weight before the replacement can be calculated as (T1/8) * 8 = T1.
Step 3: Calculate the total weight after the replacement
- The total weight after the replacement can be calculated as ((T2+3)/8) * 8 = T2+3.
Step 4: Calculate the weight of the new staff member
- The weight of the new staff member can be calculated by subtracting the total weight before the replacement from the total weight after the replacement.
- Hence, the weight of the new staff member is (T2+3) - T1.
Step 5: Calculate the weight of the new staff member using the given information
- We know that the weight of the replaced staff member is 50kg, so the total weight before the replacement is T1 = 50kg * 8 = 400kg.
- We also know that the average weight after the replacement is (T2+3)/8.
- Hence, (T2+3)/8 = (400+3)/8 = 403/8 = 50.375kg.
- Therefore, the total weight after the replacement is T2+3 = 50.375kg * 8 = 402.5kg.
- Finally, the weight of the new staff member is (T2+3) - T1 = 402.5kg - 400kg = 2.5kg.
Conclusion:
- The weight of the new staff member is 2.5kg.
- Therefore, the correct option is (D) 74kg.
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The average weight of 8 staff is increased by 3kg when one of them who...
(8×3=24) +50= 74
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The average weight of 8 staff is increased by 3kg when one of them whose weight is 50kg is replaced by a new staff. The weight of the new staff isa)50b)64c)76d)74Correct answer is option 'D'. Can you explain this answer?
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