There two persons 1)There are 30mango fruits.2fruits are sold for 1dollar. 2)There are 30mango fruits.3 fruits are sold for 1dollar.?
2017-07-24 4:04 pm
Total fruits are 60. Which are equals to 25dollars means 15+10.. In another situation The one person left for other job.So they are sold by one person as like this... 2dollars for 5fruits..Which is same.But now we are getting 24dollar. Where the 1dollar missing.
回答 (1)
2017-07-24 6:29 pm
This question involves the technique of weighted average and simple average.
In case I :
30 mango fruits are sold for $(1/2) each (2 fruits for 1 dollar), and another 30 mango fruits are sold for $(1/3) each (3 fruits for 1 dollars).
Hence, the weighted average price for each mango fruit
= (Total price for 60 mangoes fruit) / (Number of mango fruits)
= [$(1/2)×30 + $(1/3)×30] / 60
= $(25/60)
= $(5/12)
In case II :
60 mango fruits are sold for $(2/5) each (5 fruits for 2 dollars).
Hence, the simple average price for each mango fruit
= $(2/5)
The two cases are not the same. No one would expect they have equal total prices in case of different average prices.
In case I :
30 mango fruits are sold for $(1/2) each (2 fruits for 1 dollar), and another 30 mango fruits are sold for $(1/3) each (3 fruits for 1 dollars).
Hence, the weighted average price for each mango fruit
= (Total price for 60 mangoes fruit) / (Number of mango fruits)
= [$(1/2)×30 + $(1/3)×30] / 60
= $(25/60)
= $(5/12)
In case II :
60 mango fruits are sold for $(2/5) each (5 fruits for 2 dollars).
Hence, the simple average price for each mango fruit
= $(2/5)
The two cases are not the same. No one would expect they have equal total prices in case of different average prices.
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