document.write( "Question 118882: in my purse i have 15 coins-quaters,dime, and pennies. i have twice as many quaters as dimes. the total amounts of money is $1.29. how many of each coin do i have? \n" ); document.write( "
Algebra.Com's Answer #87111 by solver91311(24713)\"\" \"About 
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You have q quarters, d dimes, and p pennies. Each quarter is worth 25 cents, so the value of your quarters is 25q. Likewise the value of your dimes is 10d and the value of your pennies is p.\r
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\n" ); document.write( "\n" ); document.write( "We know that:\r
\n" ); document.write( "\n" ); document.write( "1) \"q%2Bd%2Bp=15\"\r
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\n" ); document.write( "\n" ); document.write( "2) \"25q%2B10d%2Bp=129\" ($1.29 is 129 cents)\r
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\n" ); document.write( "\n" ); document.write( "3) \"q=2d\"\r
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\n" ); document.write( "\n" ); document.write( "The first thing we can do is substitute 2d for q in each of equations 1 and 2.\r
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\n" ); document.write( "\n" ); document.write( "4) \"2d%2Bd%2Bp=15\" => \"3d%2Bp=15\" and\r
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\n" ); document.write( "\n" ); document.write( "5) \"50d%2B10d%2Bp=129\" => \"60d%2Bp=129\"\r
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\n" ); document.write( "\n" ); document.write( "Now, solve equation 4) for p\r
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\n" ); document.write( "\n" ); document.write( "6) \"p=15-3d\"\r
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\n" ); document.write( "\n" ); document.write( "And substitute this value for p into equation 5)\r
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\n" ); document.write( "\n" ); document.write( "\"60d%2B%2815-3d%29=129\"\r
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\n" ); document.write( "\n" ); document.write( "Combine terms and solve for d\r
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\n" ); document.write( "\n" ); document.write( "\"57d=129-15=114\"\r
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\n" ); document.write( "\n" ); document.write( "\"d=114%2F57=2\"\r
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\n" ); document.write( "\n" ); document.write( "Now we know we have 2 dimes. That means we have \"2%2A2=4\" quarters. 2 dimes plus 4 quarters is 6 coins. 15 coins minus 6 coins is 9 coins, so we have 9 pennies.\r
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\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "\"4+%2B+2+%2B+9=+15\"\r
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\n" ); document.write( "\n" ); document.write( "\"25%2A4%2B10%2A2%2B9=100%2B20%2B9=129\" Answer checks\r
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\n" ); document.write( "\n" ); document.write( "Hope you aren't hungry for a Big Mac.
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