document.write( "Question 1191326: 1. I have one-peso coins, 5 peso coins, and 10 peso coins. The total amount that I have is P43. I have 4 times as many 1peso coins as ten peso coins. Altogether, there are 13 coins. How many of each type of coin do I have? Solve in inverse matrix. \n" ); document.write( "

Algebra.Com's Answer #823139 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "I have one-peso coins, 5 peso coins, and 10 peso coins.
\n" ); document.write( "The total amount that I have is P43.
\n" ); document.write( "I have 4 times as many 1peso coins as ten peso coins.
\n" ); document.write( "Altogether, there are 13 coins.
\n" ); document.write( "How many of each type of coin do I have? Solve in inverse matrix.
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\n" ); document.write( "\n" ); document.write( " I will solve it in a better way: I will reduce the problem to one single equation \r
\n" ); document.write( "\n" ); document.write( " in one unknown, and then will solve it.\r
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document.write( "Let x be the number of 10-peso coins.\r\n" );
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document.write( "Then the number of 1-peso coins is 4x, according to the problem,\r\n" );
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document.write( "and the number of the 5-peso coins is the rest  13-x-4x = 13-5x coins.\r\n" );
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document.write( "Then the total money equation is\r\n" );
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document.write( "    10x + 4x + 5*(13-5x) = 43.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    10x + 4x - 25x + 65 = 43\r\n" );
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document.write( "          -11x          = 43 - 65 = -22\r\n" );
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document.write( "             x                    =  = 2.\r\n" );
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document.write( "ANSWER.  There are 2 10-peso coins;  4*2 = 8 1-peso coins and 13-5*2 = 3 5-peso coins.\r\n" );
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document.write( "CHECK.   2*10 + 8*1 + 3*5 = 20 + 8 + 15 = 43 peso, total money.    ! Correct !\r\n" );
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