document.write( "Question 1210503: if Tom gives maria 30 cents, they will have equal amounts of money. But if Maria then gives Tom 50 cents, he will how have twice as much money as she does. how much does each have now? \n" ); document.write( "

Algebra.Com's Answer #853064 by ikleyn(53354) $\"\"$ $\"About$

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\n" ); document.write( "If Tom gives Maria 30 cents, they will have equal amounts of money.
\n" ); document.write( "But if Maria then gives Tom 50 cents, he will how have twice as much money as she does.
\n" ); document.write( "How much does each have now?
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document.write( "Let x be the amount which Tom and Maria each have equally after first exchange. \r\n" );
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document.write( "It means that before first exchange, Tom had (x+30) cents, while Maria had (x-30) cents.\r\n" );
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document.write( "Now we consider the second exchange.  For it, we have this equation\r\n" );
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document.write( "    x + 50 = 2(x - 50)\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    x + 50 = 2x - 100,\r\n" );
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document.write( "    50 + 100 = 2x - x\r\n" );
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document.write( "    x = 150.\r\n" );
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document.write( "It implies that originally (or \"now\")  Tom has 150+30 = 180 cents;  Maria has 150-30 = 120 cents.    ANSWER\r\n" );
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