document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #570139 by TimothyLamb(4379) $\"\"$ $\"About$

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x = original amount
\n" ); document.write( "y = to elder son
\n" ); document.write( "z = to younger son
\n" ); document.write( "---
\n" ); document.write( "y = 0.30x
\n" ); document.write( "z = (x - 0.30x)*0.40
\n" ); document.write( "z = (1 - 0.30)x*0.40
\n" ); document.write( "z = 0.70*0.40x
\n" ); document.write( "---
\n" ); document.write( "remaining money:
\n" ); document.write( "x - y - z = 11700
\n" ); document.write( "x - 0.30x - 0.70*0.40x = 11700
\n" ); document.write( "(1 - 0.30 - 0.70*0.40)x = 11700
\n" ); document.write( "x = 11700/(1 - 0.30 - 0.70*0.40)
\n" ); document.write( "x = 27857.14
\n" ); document.write( "---
\n" ); document.write( "answer:
\n" ); document.write( "x = original amount = 27857.14
\n" ); document.write( "---
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