document.write( "Question 1183594: A coin purse contains 5 cents, 10 cents and 25 cents coins. The number of 10 cents-coins is three times as many as 5 cents-coin, and the 25 cents-coin is two more than the 10 cent-coin. If the total value of its contents isP4.90, how many of each kind of coins are in the purse? \n" ); document.write( "

Algebra.Com's Answer #813989 by ikleyn(52786) $\"\"$ $\"About$

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\n" ); document.write( "A coin purse contains 5 cents, 10 cents and 25 cents coins.
\n" ); document.write( "The number of 10 cents-coins is three times as many as 5 cents-coin,
\n" ); document.write( "and the 25 cents-coin is two more than the 10 cent-coin.
\n" ); document.write( "If the total value of its contents isP4.90, how many of each kind of coins are in the purse?
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\n" ); document.write( "\n" ); document.write( "It is a typical problem to be solved using only one unknown.\r
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document.write( "Let x be the number of 5-cent coins.\r\n" );
document.write( "Then the number of 10 cent coins is 3x, according to the condition,\r\n" );
document.write( "and the number of 25-cent coins is 3x+2 coins.\r\n" );
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document.write( "Now we write the total money equation\r\n" );
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document.write( "    5x + 10*(3x) + 25*(3x+2) = 490  cents.\r\n" );
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document.write( "Now simplify and find x\r\n" );
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document.write( "   5x + 30x + 75x + 50 = 490\r\n" );
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document.write( "        110x = 490 - 50 = 440\r\n" );
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document.write( "           x = 440/110 = 4.\r\n" );
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document.write( "ANSWER.  4 5-cent coins;  4*3 = 12 10-cent coins  and  12+2 = 14 25-cent coins.\r\n" );
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document.write( "CHECK.  4*5 + 12*10 + 14*25 = 490 cents.   (!) Precisely correct (!)\r\n" );
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