document.write( "Question 558028: Hanna has $11.20 in a jar that contains only nickels and dimes. There are 140 coins in the jar. How many dimes are in Hanna's jar? \n" ); document.write( "
Algebra.Com's Answer #362876 by saifoo.khan(162) You can put this solution on YOUR website! Hi, \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( "Let n be the number of nickels, and d be the number of dimes. \n" ); document.write( "From the first sentence: \n" ); document.write( "(1) .05n + .10d = 11.2 \n" ); document.write( "Second sentence: \n" ); document.write( "(2) n + d = 140 \n" ); document.write( ": \n" ); document.write( "From equation 2, we subtract n from both sides: \n" ); document.write( "(3) d = 140 - n \n" ); document.write( ": \n" ); document.write( "Substitute (3) into (1): \n" ); document.write( ".05n + .1 (140 -n) =11.2 \n" ); document.write( ".05n + 14 - .1n = 11.2 \n" ); document.write( "-.05n = -2.8 (Multiply by -20 on both sides) \n" ); document.write( "n = 56 \n" ); document.write( ": \n" ); document.write( "Using equation #3: \n" ); document.write( "d = 140 - 56 \n" ); document.write( "d = 84 \n" ); document.write( ": \n" ); document.write( "-------------------- \n" ); document.write( "Cheers/ \n" ); document.write( "Saifoo.khan \n" ); document.write( "einstein.saifoo@gmail.com \n" ); document.write( " \n" ); document.write( " |