document.write( "Question 920612: Hello, i am having problems setting up this problem that consists of coins.\r
\n" ); document.write( "\n" ); document.write( "1. The amount of money in a bag is $7.70. There are 62 coins consisting of nickels, dimes, and quarters. If there are three times as many dimes as nickels, how many coins of each are there?\r
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Algebra.Com's Answer #558508 by MathTherapy(10555) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Hello, i am having problems setting up this problem that consists of coins.\r
\n" ); document.write( "\n" ); document.write( "1. The amount of money in a bag is $7.70. There are 62 coins consisting of nickels, dimes, and quarters. If there are three times as many dimes as nickels, how many coins of each are there?
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document.write( "Let number of nickels, and quarters, be N, and Q, respectively
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document.write( "Since there are 3 times as many dimes as nickels, then: D = 3N 
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document.write( "N + 3N + Q = 62 ------- Equation expressing the number of coins
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document.write( "    4N + Q = 62 ------- eq (i)\r
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document.write( ".05N + .1(3N) + .25Q = 7.7 ----- Equation expressing the value  of all the coins
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document.write( ".05N + .3N + .25Q = 7.7
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document.write( "      .35N + .25Q = 7.7 -------- eq (ii)\r
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document.write( "You now have 2 equations (i & ii) that you can solve. My choice would be either:
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document.write( "1) to solve equation (i) for Q, and substitute that value for Q in eq (ii), or
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document.write( "2) to apply the elimination method of solving simultaneous equations
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document.write( "Either way, the value derived for N: the number of nickels, MUST BE an INTEGER,
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document.write( "and so MUST the value for Q: the number of quarters.\r
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document.write( "Then do a check!! 
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document.write( "If you need a complete and detailed solution, let me know!!\r
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document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
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document.write( "Further help is available, online or in-person, for a fee, obviously. \r
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