document.write( "Question 1175714: Hi
\n" ); document.write( "There are some 20c coins in box A and some 50c coins in box B . If 40 coins are transferred from A to B there will be the same amount of money in each box. If 24 coins are transferred from B to A there will be 9 times as much money in A as in B. How many coins are in each container.
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Algebra.Com's Answer #801368 by ikleyn(52906) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "There are some 20c coins in box A and some 50c coins in box B.
\n" ); document.write( "If 40 coins are transferred from A to B there will be the same amount of money in each box.
\n" ); document.write( "If 24 coins are transferred from B to A there will be 9 times as much money in A as in B.
\n" ); document.write( "How many coins are in each container ?
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document.write( "Let A be the number of the 20c coins in box A, and\r\n" );
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document.write( "Let B be the number of the 20c coins in box A.\r\n" );
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document.write( "Then. following literally the problem's description, we can write these two equations\r\n" );
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document.write( "    A - 40*20 = B + 40*20      (1)    (second line of the problem condition, see above)\r\n" );
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document.write( "    A + 24*50 = 9*(B-24*50)    (2)    (third line of the problem condition, see above)\r\n" );
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document.write( "Or, simplifying, you can write these equations in equivalent form\r\n" );
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document.write( "    A - B =    1600            (3)     (instead of equation (1) )\r\n" );
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document.write( "    A - 9B = -12000            (4)     (instead of equation (2) )\r\n" );
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document.write( "Now subtract equation (4) from equation (3).  You will get\r\n" );
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document.write( "        8B = 13600.\r\n" );
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document.write( "It implies  B =  = 1700.\r\n" );
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document.write( "Then from equation (3),  A = 1600 + 1700 = 3300.\r\n" );
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document.write( "ANSWER.  There are  3300  20c-coins in box A  and  1700  50c-coins in box B.\r\n" );
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