document.write( "Question 775794: Erica has a collection of nickels, dimes, and quarters worth a total value of $11.50. If she has twice as many dimes as nickels, and seven more quarters than dimes, how many of each type of coin does she have?\r
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document.write( "So far I have(Not sure if I did this right):
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document.write( "X= Nickels
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document.write( "2x= Dimes
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document.write( "2x +7= Quarters\r
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document.write( "So x +2x +7= 11.50\r
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document.write( "I got x=1.50\r
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document.write( "Not sure where to go from there, that is if I even did it right. Please help. \n" );
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Algebra.Com's Answer #473154 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! Erica has a collection of nickels, dimes, and quarters worth a total value of $11.50. If she has twice as many dimes as nickels, and seven more quarters than dimes, how many of each type of coin does she have?\r \n" ); document.write( "\n" ); document.write( "So far I have(Not sure if I did this right): \n" ); document.write( " \n" ); document.write( "X= Nickels \n" ); document.write( "2x= Dimes \n" ); document.write( "2x +7= Quarters\r \n" ); document.write( "\n" ); document.write( "So x +2x +7= 11.50\r \n" ); document.write( "\n" ); document.write( "I got x=1.50\r \n" ); document.write( "\n" ); document.write( "Not sure where to go from there, that is if I even did it right. Please help.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That obviously could not be the answer to the amount of nickels, as an INTEGER is required. There is no such thing as 1.5 nickels.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You were able to find the amount of nickels: x, amount of dimes: 2x, and quarters: 2x + 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, your next step is to determine the VALUE to EACH denomination. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In other words, with the amount of nickels being x, the value of the nickles would be .05x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Likewise, the value of the dimes would be: .1(2x), or .2x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Additionally, the value of the quarters would be: .25(2x + 7), or .5x + 1.75\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, since the value of all the coins is $11.50, then we can say that: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You now need to solve this for x to determine the amount of nickels, represented by an INTEGER value. Then go on to find the amount of dimes and quarters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You then do a check!!!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Further help is available, online or in-person, for a fee, obviously. Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com \n" ); document.write( " |