document.write( "Question 930741: A collection of 15 coins is worth $1.00. If the coins are dimes and nickels, how many of each coin are there? \r
\n" ); document.write( "\n" ); document.write( "I have only been taught to do it when you are told that one of the coins has more than the other. Not sure how to set this up
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Algebra.Com's Answer #565277 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "A collection of 15 coins is worth $1.00. If the coins are dimes and nickels, how many of each coin are there? \r
\n" ); document.write( "\n" ); document.write( "I have only been taught to do it when you are told that one of the coins has more than the other. Not sure how to set this up
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Method 1: Solving for 2 unknowns
\n" ); document.write( "Let number of dimes and number of nickels, be D and N, respectively. Then we have:
\n" ); document.write( " D + N = 15 --------- Denomination-number equation
\n" ); document.write( ".1D + .05N = 1 --------- Denomination-value equation
\n" ); document.write( "Solve for D or N and substitute solved variable into either equation to determine value of other variable\r
\n" ); document.write( "\n" ); document.write( "Method 2: Solving for 1 unknown
\n" ); document.write( "Let number of dimes, be D
\n" ); document.write( "Then number of nickels = 15 - D. We now have:
\n" ); document.write( ".1D + .05(15 - D) = 1 -------- Value equation
\n" ); document.write( "Solve for D, and then SUBTRACT that value from 15 (total number of coins) to determine number of nickels\r
\n" ); document.write( "\n" ); document.write( "Then do a check!!
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\n" ); document.write( "If you need a complete and detailed solution, let me know!!
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