document.write( "Question 1143710: Ann has a piggy bank with 48 coins, all of which are dimes and nickels. The total amount of money in the piggy bank is $3.90. How many more dimes are there than Nickles?
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document.write( "A)20
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document.write( "B)18
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document.write( "C)14
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document.write( "D)12a \n" );
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Algebra.Com's Answer #764590 by ikleyn(52786)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let x be the number of dimes; then the number of nickels is 48-x.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The \"money\" equation (also called \"the value equation\") is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 10x + 5*(48-x) = 390 cents.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Solve for x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 10x + 240 - 5x = 390\r\n" ); document.write( "\r\n" ); document.write( " 10x - 5x = 390 - 240\r\n" ); document.write( "\r\n" ); document.write( " 5x = 150\r\n" ); document.write( "\r\n" ); document.write( " x = 150/5 = 30.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Thus Ann has 30 dimes. The rest 48-30 = 18 coins are nickels. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "30-18 = 12.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. There are 12 more dimes than nickels.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "-----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to learn on how to solve coin problems, look into the lesson on this subject that were written specially for you:\r \n" ); document.write( "\n" ); document.write( " - Coin problems\r \n" ); document.write( "\n" ); document.write( " - More Coin problems\r \n" ); document.write( "\n" ); document.write( " - Solving coin problems without using equations\r \n" ); document.write( "\n" ); document.write( " - Kevin and Randy Muise have a jar containing coins\r \n" ); document.write( "\n" ); document.write( " - Typical coin problems from the archive\r \n" ); document.write( "\n" ); document.write( " - Three methods for solving standard (typical) coin word problems\r \n" ); document.write( "\n" ); document.write( " - More complicated coin problems\r \n" ); document.write( "\n" ); document.write( " - Solving coin problems mentally by grouping without using equations\r \n" ); document.write( "\n" ); document.write( " - Santa Claus helps solving coin problem\r \n" ); document.write( "\n" ); document.write( " - Non-typical coin problems \r \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on coin word problems\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You will find there the lessons for all levels - from introductory to advanced, \n" ); document.write( "and for all methods used - from one equation to two equations and even without equations. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A convenient place to quickly observe these lessons from a \"bird flight height\" (a top view) is the last lesson in the list.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution of coin problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Coin problems\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I \n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |