document.write( "Question 1208259: Hi
\n" ); document.write( "In a box there were some 50c coins and half as many 20cent coins. When 40 50c and 8 20cent coins were added.the value in the box would be 4 times as much as it was before.
\n" ); document.write( "What is the total value at first
\n" ); document.write( "What is the total of coins at the end.
\n" ); document.write( "This is word for word from textbook. \n" ); document.write( "
Algebra.Com's Answer #846704 by MathTherapy(10555)\"\" \"About 
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document.write( "Hi\r\n" );
document.write( "In a box there were some 50c coins and half as many 20cent coins. When 40 50c and 8 20cent coins were added.the value in the box would be 4 times as much as it was before.\r\n" );
document.write( "What is the total value at first\r\n" );
document.write( "What is the total of coins at the end.\r\n" );
document.write( "This is word for word from textbook. \r\n" );
document.write( "\r\n" );
document.write( "Let original number of 20c coins be T\r\n" );
document.write( "Then original number of 50c coins = 2T (\"1%2F2\" as many 20c as 50c, or # of 50c is TWICE the number of 20c)\r\n" );
document.write( "Original value of 20c coins: $.2T\r\n" );
document.write( "Original value of 50c coins: .5(2T) = $T\r\n" );
document.write( "TRANSLATED, \"When 40 50c and 8 20cent coins were added.the value in the box would be 4 times as much as\r\n" );
document.write( "             it was before,\" gives us the following equation:\r\n" );
document.write( "             T + 40(.5) + .2T + 8(.2) = 4(.2T)(T)\r\n" );
document.write( "                   T + 20 + .2T + 1.6 = .8T2\r\n" );
document.write( "                          1.2T + 21.6 = .8T2\r\n" );
document.write( "                                    0 = .8T2 - 1.2T - 21.6\r\n" );
document.write( "                               -- Multiplying by \"matrix%281%2C3%2C+10%2F4%2C+or%2C+2.5%29\" to\r\n" );
document.write( "                                                                                get rid of decimals \r\n" );
document.write( "                                    0 = 2T2 - 3T - 54\r\n" );
document.write( "                                    0 = 2T2 - 12T + 9T - 54\r\n" );
document.write( "                                    0 = 2T(T - 6) + 9(T - 6)\r\n" );
document.write( "                                    0 = (T - 6)(2T + 9)\r\n" );
document.write( "                                    0 = T - 6      OR     0 = 2T - 9\r\n" );
document.write( "                                                   OR     9 = 2T\r\n" );
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document.write( "             Original number of 20c coins (T) = 6  OR   \"matrix%281%2C4%2C+T%2C+%22=%22%2C+9%2F2%2C+%22%28IGNORE%29%22%29\"\r\n" );
document.write( "             Original number of 50c coins: 2T = 2(6) = 12\r\n" );
document.write( "             Original number of coins: 6 + 12 = 18\r\n" );
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document.write( "             Number of 20c and 50c coins ADDED: 40 + 8 = 48\r\n" );
document.write( "             Number of 20c and 50c coins AT END: 18 + 48 = 66\r\n" );
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document.write( "             Original value of 20c coins: 6(.2) = $1.20\r\n" );
document.write( "             Original value of 50c coins: 12(.5) = $6\r\n" );
document.write( "             Original value of 20c and 50c coins: $1.20 + $6 = $7.20
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