document.write( "Question 1163258: 2/5's of A's money is equal to 2/3's of B's money. Total of their money is $4800. Determine A and B's money.\r
\n" ); document.write( "\n" ); document.write( "2/5 of A's = 2/3's of B's.\r
\n" ); document.write( "\n" ); document.write( "A + B = 4800.\r
\n" ); document.write( "\n" ); document.write( "Not sure how to proceed.\r
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Algebra.Com's Answer #787308 by ikleyn(52803) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "From the condition, you have\r\n" );
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document.write( "     = .    (1)\r\n" );
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document.write( "Multiply both sides by 3*5 = 15.   You will get\r\n" );
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document.write( "    6A = 10B,   or\r\n" );
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document.write( "    3A = 5B.         (2)\r\n" );
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document.write( "You have also second equation\r\n" );
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document.write( "    A + B = 4800.    (3)\r\n" );
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document.write( "Multiply its both sides by 3.  You will get\r\n" );
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document.write( "    3A + 3B = 3*4800 = 14400.\r\n" );
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document.write( "In the left side, replace 3A by 5B, based on equation (2).  You will get\r\n" );
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document.write( "    5B + 3B = 14400,  or\r\n" );
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document.write( "    8B      = 14400,\r\n" );
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document.write( "     B      = 14400/8 = 1800.\r\n" );
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document.write( "So, the amount B is just found: it is 1800 dollars.\r\n" );
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document.write( "The last step is to find A. For it, subtract 1800 from 4800\r\n" );
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document.write( "    A = 4800 - 1800 = 3000 dollars.\r\n" );
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document.write( "ANSWER.  A has $3000;  B has $1800.\r\n" );
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\n" ); document.write( "comment from student: Why did you multiply equation (3) by 3 ?
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\n" ); document.write( "\n" ); document.write( "My response : Good question, thanks for asking.\r
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document.write( "    I multiply equation (3) by 3  in order for to have this term \" 3A \", which I later replace by  \" 5B \".\r\n" );
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document.write( "    My secret goal is to get an equation for one unknown \" B \" only, and for it I make all these transformations.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Is everything clear to you now ?\r
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\n" ); document.write( "\n" ); document.write( "If you still have questions, do not hesitate to post them to me . . . \r
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\n" ); document.write( "comment from student: How did you get 3A = 5B from 6A = 10B ?
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\n" ); document.write( "\n" ); document.write( "My response : I divided both sides of the equation 6A = 10B by 2.\r
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