document.write( "Question 1148765: A purse contains 50 coins of 25-paise and 50-paise denominations.if the total value of the money in the purse is ₹15,find the number of each type of coins. \n" ); document.write( "
Algebra.Com's Answer #770106 by ikleyn(52810)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "\r\n" ); document.write( "x for 25-paise coins and y for 50-paise coins.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + y = 50 (1) (counting coins) \r\n" ); document.write( "\r\n" ); document.write( " 25x + 50y = 1500 (2) (counting money in paises)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In equation (2), cancel the common factor 25 on both sides. Keep equation (1) as is. You will get modified EQUIVALENT system\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x + y = 50 (1') \r\n" ); document.write( "\r\n" ); document.write( " x + 2y = 60 (2')\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now subtract equation (1') from equation (2'). You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " y = 10.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 10 of 50-paise coins and the rest, 50-10 = 40 of 25-paise coins.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 100*50 + 40*25 = ₹15. ! Precisely correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On coin problems, see the lessons\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( " - Non-typical coin problems \r \n" ); document.write( "\n" ); document.write( " - Santa Claus helps solving coin problem\r \n" ); document.write( "\n" ); document.write( " - OVERVIEW of lessons on coin word problems\r \n" ); document.write( "\n" ); document.write( "in this site.\r \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( " |