document.write( "Question 1193413: Peter has been saving his loose change for several days. When he counted his quarters and dimes, he found they had a total value $15.80. The number of quarters was nineteen more than three times the number of dimes. How many quarters and how many dimes did Peter have?\r
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Algebra.Com's Answer #825433 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "Peter has been saving his loose change for several days.
\n" ); document.write( "When he counted his quarters and dimes, he found they had a total value $15.80.
\n" ); document.write( "The number of quarters was nineteen more than three times the number of dimes.
\n" ); document.write( "How many quarters and how many dimes did Peter have?
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\n" ); document.write( "\n" ); document.write( "ANSWER. 13 dimes and 58 quarters.\r
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document.write( "x dimes and 19+3x quarters.\r\n" );
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document.write( "Write the money equation\r\n" );
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document.write( "    10x + 25*(19+3x) = 1580  cents.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    10x + 25*19 + 75x = 1580\r\n" );
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document.write( "    10x         + 75x = 1580 - 25*19\r\n" );
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document.write( "           85x        =   1105\r\n" );
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document.write( "             x        =   1105/85 \r\n" );
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document.write( "             x        =   13.  \r\n" );
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document.write( "So, there 13 dimes and 19 + 3*13 = 58 quarters.\r\n" );
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document.write( "CHECK.    13*10 + 58*25 = 1580  cents,  total.    ! correct !\r\n" );
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