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 #846565 by ikleyn(52866) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "In a box there were some 50c coins and half as many 20cent coins.
\n" ); document.write( "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( "(a) What is the total value at first
\n" ); document.write( "(b) What is the total of coins at the end.
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document.write( "The amount added is  40*(50c) + 8*(20c) = 2000c + 160c = 2160c.\r\n" );
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document.write( "Let x be the total value at first.\r\n" );
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document.write( "From the problem, \r\n" );
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document.write( "    x + 2160 = 4x.\r\n" );
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document.write( "Hence,\r\n" );
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document.write( "    2160 = 3x,  x = 2160/3 = 720.\r\n" );
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document.write( "Thus, the total value at first was 720c.   It is the ANSWER to question (a).\r\n" );
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document.write( "To solve for (b), let T be the number of 20c coins at first.\r\n" );
document.write( "Then the number of the 50c coins at first is 2T.\r\n" );
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document.write( "Write an equation for the total amount at first\r\n" );
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document.write( "    20T + 50(2T) = 720.\r\n" );
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document.write( "Simplify and find T\r\n" );
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document.write( "    20T + 100T = 720\r\n" );
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document.write( "    120T = 720\r\n" );
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document.write( "       T = 720/120 = 6.\r\n" );
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document.write( "Initially, there were  T + 2T = 6 + 2*6 = 6 + 12 = 18 coins.\r\n" );
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document.write( "At the end, there were 18 + 40 + 8 = 66 coins, in all.   It is the ANSWER to question (b).\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "How this problem is worded in your textbook, it recalls me a lame horse with three legs.\r
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\n" ); document.write( "\n" ); document.write( "It is not a right style writing Math problems.\r
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