Question
Download Solution PDFThere are 10 bangles in a gift box. The average weight of the first 4 bangles is 30 gm and the average weight of the remaining 6 bangles is 31 gm. Find the total average weight (in gm) of all the bangles?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
There are 10 bangles in a gift box.
The average weight of the first 4 bangles is 30 gm.
The average weight of the remaining 6 bangles is 31 gm.
Concept and Formula Used:
The average weight of a set of items is the total weight of the items divided by the number of items.
Total average weight = (Total weight of all bangles) / (Number of bangles)
Calculation:
Let the total weight of the first 4 bangles be W1 gm.
Let the total weight of the remaining 6 bangles be W2 gm.
⇒ W1 = 4 × 30 = 120 gm
⇒ W2 = 6 × 31 = 186 gm
Total weight of all bangles = W1 + W2
⇒ Total weight = 120 + 186 = 306 gm
Total number of bangles = 10
Total average weight = (Total weight of all bangles) / (Number of bangles)
⇒ Total average weight = 306 / 10 = 30.6 gm
∴ The total average weight of all the bangles is 30.6 gm.
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