document.write( "Question 239166: wendy has 52 coins consisting of nickels and pennies. If the value of the coins is $1.20 then how many of each coin type does she have? \n" ); document.write( "
Algebra.Com's Answer #175652 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! I have a MUCH more detailed explanation for solving Word Problems in general, and specifically these Coin Problems on my own website. To find my website, do a \"Bing\" search or a \"Google\" search for my last name \"Rapalje\". Near the top of the search list, look for \"Rapalje Homepage.\" Near the top of my Homepage, look for the link \"Basic, Intermediate, and College Algebra: One Step at a Time.\" Choose the link \"Basic Algebra\" and look in \"Chapter 1\" for \"Section 1.10 Word Problems\"--the Coin Problems are in \"Section 1.10, Part II.\" In this section, you will find my own non-traditional explanation especially designed for students that have trouble understanding their own books. My own explanations, together with examples and exercises, are also supported by my \"MATH IN LIVING COLOR\" pages in which I've solved the hardest problems IN COLOR.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In addition to these, I have a LOT of similar resources, both in written and video form, that may help you on a number of topics. Anyone can send me an Email at rapaljer@scc-fl.edu, and I'll be glad to tell you about the topics and pages that are available on the website.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Dr. Robert J. Rapalje, Retired \n" ); document.write( "Seminole State College of Florida \n" ); document.write( "Altamonte Springs Campus\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, here is the solution to your specific problem: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x = number of nickels \n" ); document.write( "52-x = number of pennies\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5*x + 1*(52-x) = 120 \n" ); document.write( "5x+52-x = 120 \n" ); document.write( "4x+52=120 \n" ); document.write( "4x= 120-52 \n" ); document.write( "4x=68 \n" ); document.write( "x=68/4=17 Nickels\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "52-x=52-17=35 Pennies\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: See if the total value of the coins is $1.20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17 Nickels*5= $.85 \n" ); document.write( "35 Pennies*1 =$.35 \n" ); document.write( "Total is $1.10, so it checks!! \n" ); document.write( " |