Sharing and giving money
A man left 1/2 of his money to his wife, 2/5 of what remained to his son, and $40 000 more than 1/2 of what was left from his son's share, to his daughter. The remaining money was shared equally by his 2 nieces. If each niece got $47 500, how much money did the man leave for his family?
The answer is 900000.
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1 solution
You can see a diagram in here :
The red part shows the wife, which is said that is 1/2 of the man's money. However, the son got 2/5 of the remaining money, which is the blue part. The daughter, however, was simplified, in which we removed the $40 000 from her money to make it equal and understandable. It is the orange part.
Assumed that the remaining space is 3/20, which is the money of the two nieces PLUS the additional $40 000. So $40 000 + {$47 500) (2) = $135 000 = 3/20 of the money.
Since $135 000 is 3/20 of all the money, let's make it even $135 000 ÷ 3 = $45 000. Multiply it by 20 to get the over-all and the answer is $900 000 or $900000.