document.write( "Question 122568: Lena has $31.05 in dimes and quarters. The number of dimes is one-fifth the number of quarters. How many of each does she have? \n" ); document.write( "
Algebra.Com's Answer #89976 by rapaljer(4671)![]() ![]() You can put this solution on YOUR website! Before I solve this problem for you, if anyone needs additional explanations on solving coin problems, please see my Lesson Plans on Word Problems in algebra.com, or better yet, check out my own website by clicking on my tutor name \"rapaljer\" anywhere in algebra.com. Look for my MATH IN LIVING COLOR page, and click on Basic Algebra, Chapter 1, Section 1.10 Word Problems. Where else in the world can you find Word Problems solved in COLOR? Check it out!! \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the number of dimes is one-fifth the number of quarters, then the number of quarters is 5 times the number of dimes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x= number of dimes @ 10 cents \n" ); document.write( "5x= number of quarters @ 25 cents\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10(x) +25(5x) = 3105 cents\r \n" ); document.write( "\n" ); document.write( "10x +125x = 3105\r \n" ); document.write( "\n" ); document.write( "135x=3105 \n" ); document.write( "x=23 dimes \n" ); document.write( "5x = 115 quarters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It checks since \n" ); document.write( "23 dimes = $2.30 \n" ); document.write( "115 quar = $28.75 \n" ); document.write( "TOTAL = $31.05\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "R^2 \n" ); document.write( " |