document.write( "Question 1184054: Ken had 1 1/2 times as many bookmarks as Lionel. Mike had 3/4 as many bookmarks as
\n" ); document.write( "Ken. Ken and Lionel gave Mike a number of bookmarks in the ratio 3:1. As a result, Mike
\n" ); document.write( "had twice as many bookmarks as before, and Lionel had 32 bookmarks more than Ken.
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Algebra.Com's Answer #838074 by MathTherapy(10552) $\"\"$ $\"About$

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document.write( "Ken had 1 1/2 times as many bookmarks as Lionel. Mike had 3/4 as many bookmarks as \r\n" );
document.write( "Ken. Ken and Lionel gave Mike a number of bookmarks in the ratio 3:1. As a result, Mike \r\n" );
document.write( "had twice as many bookmarks as before, and Lionel had 32 bookmarks more than Ken. \r\n" );
document.write( "How many bookmarks did Ken give to Mike?\r\n" );
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document.write( "Let original number Lionel had, be L\r\n" );
document.write( "Then original number Ken had was, 1.5L\r\n" );
document.write( "Also, Mike’s original number = \r\n" );
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document.write( "Since Ken and Lionel gave Mike an amount in a ratio of 3:1, then Ken and Lionel gave Mike 3x, and x, respectively,\r\n" );
document.write( "with x being the MULTIPLICATIVE factor of the total number given to Mike. In all, Mike received 4x (3x + x) from\r\n" );
document.write( "Ken and Lionel \r\n" );
document.write( "After Ken gave Mike 3x, Ken was left with 1.5L - 3x\r\n" );
document.write( "After Lionel gave Mike x, Lionel was left with L - x\r\n" );
document.write( "After receiving a total of 4x from Ken and Lionel, Mike then had: \r\n" );
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document.write( "After receiving 4x from Ken and Lionel, Mike had twice his previous total,\r\n" );
document.write( "so we get: \r\n" );
document.write( "               2(4.5L) - 4.5L = 4(4x) ------ Multiplying by LCD, 4\r\n" );
document.write( "                         4.5L = 16x\r\n" );
document.write( "                   4.5L - 16x = 0 ------- eq (i)\r\n" );
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document.write( "Now, since Ken was left with 32 LESS than Lionel, after giving to Mike, we then have: \r\n" );
document.write( "                    1.5L - 3x = L - x - 32\r\n" );
document.write( "            1.5L - L - 3x + x = - 32\r\n" );
document.write( "                     .5L - 2x = - 32 ----- eq (ii)\r\n" );
document.write( "                   4.5L - 18x = - 288 ---- Multiplying eq (ii) by 9 --- eq (iii)\r\n" );
document.write( "                           2x = 288 ------ Subtracting eq (iii) from eq (i)\r\n" );
document.write( "Multiplicative factor of number given to Mike, or \r\n" );
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document.write( "                              Ken gave Mike, 3x = 3(144) = 432

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