A man died, leaving 100 million dollars for his widow, 5 sons and 5 daughters.
Each daughter received an equal amount, each son received twice as much as a daughter, and the widow received five times as much as a son.
How much did the widow receive?
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Answer: 40 million
Let us assume that the amount that each daughter receives is x
Therefor the amount each son receives is 2x
and the amount the widow receives is 5(2x) = 10x.
So we can write the following
5x + 5(2x) + 10x = 100,000,000
25x = 100000000
Therefore x = 4,000,000.
Therefore each daughter received 4 million dollars
Since the amount the widow receives is 10x.
i.e. 10 x 4 million = 40 million
The amount the widow receives is 40 million.