If 60% of the mangoes in a particular harvest had an average (arithmetic mean) wright of 350 grams and 40% of the mangoes in that harvest had an average (arithmetic mean) weight of 400 grams, what was the average (arithmetic mean) weight, in grams, of all of the mangoes in the harvest?

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If 60% of the mangoes in a particular harvest had an average (arithmetic mean) wright of 350 grams and 40% of the mangoes in that harvest had an average (arithmetic mean) weight of 400 grams, what was the average (arithmetic mean) weight, in grams, of all of the mangoes in the harvest?

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Let 60 % of mangoes weigh X grams and,

40 % of mangoes weigh Y grams

Let total number of mangoes be "n".

A/Q

\(350 = {X \over 0.6n}\) ⇒ \(350*0.6 = {X \over n}\) ⇒ \(210 = {X \over n}\) ------------------------- (1)

\(400 = {Y \over 0.4n}\) ⇒ \(400*0.4 = {Y \over n}\) ⇒ \(160 = {Y \over n}\) --------------------------(2)

(1) + (2)

\(210 + 160 = { X + Y \over n}\)

⇒ \(370 = {Total Wt. \over n}\)

Therefore, Average Weight of mangoes =

370 gramsthanks