SOLUTION: A man gives 30% of his money to his elder son and 40% of the remaining money to his younger son, and is left with 11,700. How much money did he have in the beginning?

Question 936602: A man gives 30% of his money to his elder son and 40% of the remaining money to his younger son, and is left with 11,700. How much money did he have in the beginning?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = original amount
y = to elder son
z = to younger son
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y = 0.30x
z = (x - 0.30x)*0.40
z = (1 - 0.30)x*0.40
z = 0.70*0.40x
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remaining money:
x - y - z = 11700
x - 0.30x - 0.70*0.40x = 11700
(1 - 0.30 - 0.70*0.40)x = 11700
x = 11700/(1 - 0.30 - 0.70*0.40)
x = 27857.14
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answer:
x = original amount = 27857.14
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