Alvin had $250 more than Shufun. After both had spent 1/2 of what they had, the ratio of Alvin’s money to Shufun became 3:2. Alvin then gave Shufun money to make the new ratio 9:16.
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document.write( "(A) how much money did Alvin start with
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document.write( "(B) how much did Alvin give to Shufun\r
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document.write( "X/2 + (x+250)/2 = 3:2
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document.write( "let original amount Alvin had, be A\r\n" );
document.write( "Then original amount Shufun had = A - 250\r\n" );
document.write( "After spending 
of his money, Alvin had: 
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document.write( "After spending of his money, Shufun had: 
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document.write( "We then get: 
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document.write( "3(A - 250) = 2A ------- Cross-multiplying \r\n" );
document.write( "3A - 750 = 2A\r\n" );
document.write( "- 750 = 2A - 3A\r\n" );
document.write( "- 750 = - A\r\n" );
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document.write( "Shufun's original amount: 750 - 250 = $500
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document.write( "Since Alvin had $750, originally, and spent , or $375, he then had $375 left\r\n" );
document.write( "Since Shufun had $500, originally, and spent , or $250, he then had $250 left\r\n" );
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document.write( "Let the amount Alvin gave Shufun, be y. We get the following equation: \r\n" );
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document.write( "9(250 + y) = 16(375 - y) ------- Cross-multiplying \r\n" );
document.write( "2,250 + 9y = 6,000 - 16y\r\n" );
document.write( "9y + 16y = 6,000 - 2,250\r\n" );
document.write( "25y = 3,750 \r\n" );
document.write( "Amount given to Shufun by Alvin, or 
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