document.write( "Question 1206052: Hi
\n" ); document.write( "Ryan had $120 more than Kaden. Kaden had 1/4 as much as Ryan. Both of them spent a total of $170. As a result Kaden had 2/3 as much as Ryan.
\n" ); document.write( "A) how much did they have altogether in the end.
\n" ); document.write( "B) how much did Kaden have in the end.
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Algebra.Com's Answer #843386 by MathTherapy(10552)\"\" \"About 
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document.write( "Hi\r\n" );
document.write( "Ryan had $120 more than Kaden. Kaden had 1/4 as much as Ryan. Both of them spent a total of $170. As a result Kaden had 2/3 as much as Ryan. \r\n" );
document.write( "A) how much did they have altogether in the end. \r\n" );
document.write( "B) how much did Kaden have in the end.\r\n" );
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document.write( "Let original amount Kaden had, be K\r\n" );
document.write( "Ryan had $120 more than Kaden. so original amount Ryan had, was K + 120\r\n" );
document.write( "Also, Kaden had \"1%2F4\" as much as Ryan, so original amount Ryan had, was 4K\r\n" );
document.write( "             We now get: K + 120 = 4K\r\n" );
document.write( "                             120 = 4K - K\r\n" );
document.write( "                             120 = 3K\r\n" );
document.write( "Original amount Kaden had, or \"matrix%281%2C5%2C+K%2C+%22=%22%2C+120%2F3%2C+%22=%22%2C+%22%2440%22%29\"\r\n" );
document.write( "Original amount Ryan had: 40 + 120, or 4(40) = $160\r\n" );
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document.write( "Total amount they had, originally: $40 + $160 = $200\r\n" );
document.write( "Since they spent a total of $170, remainder was $200 - 170 = $30\r\n" );
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document.write( "Let Kaden's remainder be Kr \r\n" );
document.write( "Since in the end, Kaden had \"2%2F3\" as much as Ryan, then Ryan's remainder was \"3%2F2\" of Kaden's, or \"%283%2F2%29K%5Br%5D\"\r\n" );
document.write( "With total remainder being $30 (see above), we get: \"matrix%281%2C3%2C+K%5Br%5D+%2B+%283%2F2%29K%5Br%5D%2C+%22=%22%2C+30%29\" \r\n" );
document.write( "                                                      \"matrix%281%2C3%2C+2K%5Br%5D+%2B+3K%5Br%5D%2C+%22=%22%2C+60%29\" ------ Multiplying by LCD, 2\r\n" );
document.write( "                                                           \"matrix%281%2C3%2C+5K%5Br%5D%2C+%22=%22%2C+60%29\" \r\n" );
document.write( "                                  Kaden's remainder, or 
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