document.write( "Question 1184463: A fun-raising project lasted 2 weeks.
\n" ); document.write( "In the 1st week, Team Cupcakes raised 4/7 as much as money as Team Drinks.
\n" ); document.write( "In the 2nd week, Team Cupcakes raised another $214 while Team Drinks raised another
\n" ); document.write( "$260.
\n" ); document.write( "The total amount raised by Team Cupcakes was 2/3 as much as the total amount raised
\n" ); document.write( "by Team Drinks.
\n" ); document.write( "What was the total amount of money raised by the two teams?\r
\n" ); document.write( "\n" ); document.write( "I not yet learnt algebra. Please help me to solve this problem \n" ); document.write( "

Algebra.Com's Answer #815074 by ikleyn(52852) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A fund-raising project lasted 2 weeks.
\n" ); document.write( "In the 1st week, Team Cupcakes raised 4/7 as much as money as Team Drinks.
\n" ); document.write( "In the 2nd week, Team Cupcakes raised another $214 while Team Drinks raised another $260.
\n" ); document.write( "The total amount raised by Team Cupcakes was 2/3 as much as the total amount raised by Team Drinks.
\n" ); document.write( "What was the total amount of money raised by the two teams?
\n" ); document.write( "I not yet learnt algebra. Please help me to solve this problem
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\n" ); document.write( "\n" ); document.write( "            This problem is NOT INTENDED for those who \" not yet learnt algebra \".\r
\n" ); document.write( "\n" ); document.write( "            THEREFORE, I will IGNORE your note saying that you did not learn algebra, yet.\r
\n" ); document.write( "\n" ); document.write( "            I will solve it as if I communicate with a person who is able to understand the subject.\r
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\n" ); document.write( "\n" ); document.write( "                     If you do not understand - - - then it is YOUR problem - not mine.\r
\n" ); document.write( "\n" ); document.write( "                     If not you, then next generations of students will learn from my solution, reading it in the future from the archive.\r
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\n" ); document.write( "\n" ); document.write( "For short, I will call the teams by letters   \" C \"   and   \" D \".\r
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document.write( "Since \"The total amount raised by Team C was 2/3 as much as the total amount raised by Team D\",\r\n" );
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document.write( "I will assume that total amount raised by D was 3x dollars, while the total amount raised by C was 2x dollars.\r\n" );
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document.write( "Then \r\n" );
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document.write( "   the team D's raising in the 1st week  is  3x - 260  dollars,  while\r\n" );
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document.write( "   the team C's raising in the 1st week  is  2x - 214  dollars.\r\n" );
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document.write( "Based on problem's condition, we have this equation\r\n" );
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document.write( "    2x - 214 = .\r\n" );
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document.write( "To solve this equation, multiply both sides by 7, then simplify.\r\n" );
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document.write( "    14x - 7*214 = 12x - 4*260\r\n" );
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document.write( "    14x - 12x = 7*214 - 4*260\r\n" );
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document.write( "       2x     = 458.\r\n" );
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document.write( "        x     = 458/2 = 229.\r\n" );
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document.write( "The total amount of money raised by the two teams is then  2x + 3x = 5x = 5*229 = 1145 dollars.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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