document.write( "Question 119080: Frank has 24 dimes and nickels. Rick has 2/3 as many nickels and 1 1/2 times as many dimes as Frank has. If Rick and Frank have the same amount of money, how much does each of them have? \n" ); document.write( "
Algebra.Com's Answer #87252 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Frank has 24 dimes and nickels. Rick has 2/3 as many nickels and 1 1/2 times as many dimes as Frank has. If Rick and Frank have the same amount of money, how much does each of them have? \n" ); document.write( ": \n" ); document.write( "Let x = no. of Franks dimes \n" ); document.write( "Then \n" ); document.write( "(24-x) = no of Franks nickels \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "and \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "It says they have the same amt of money, write an equation from this fact: \n" ); document.write( ": \n" ); document.write( ".10x + .05(24-x) = .10* \n" ); document.write( ": \n" ); document.write( ".1x + 1.2 - .05x = \n" ); document.write( ": \n" ); document.write( "+.05x + 1.2 = \n" ); document.write( ": \n" ); document.write( "Multiply equation by 6 to get rid of the denominators \n" ); document.write( "6(.05)x + 6(1.2) = 6* \n" ); document.write( ": \n" ); document.write( ".3x + 7.2 = .9x + .2(24-x) \n" ); document.write( ": \n" ); document.write( ".3x + 7.2 = .9x + 4.8 - .2x \n" ); document.write( ": \n" ); document.write( ".3x + 7.2 = .7x + 4.8 \n" ); document.write( ": \n" ); document.write( "7.2 - 4.8 = .7x - .3x \n" ); document.write( ": \n" ); document.write( "2.4 = .4x \n" ); document.write( ": \n" ); document.write( "x = 2.4/.4 \n" ); document.write( ": \n" ); document.write( "x = 6 dimes (Frank) \n" ); document.write( "Then \n" ); document.write( "(24-6) = 18 nickels (Frank) \n" ); document.write( ": \n" ); document.write( "Franks total: \n" ); document.write( ".10(6) + .05(18) = \n" ); document.write( ".60 + .90 = $1.50 \n" ); document.write( ": \n" ); document.write( "Rick: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Ricks total: \n" ); document.write( ".10(9) + .05(12) = \n" ); document.write( " .90 + .60 = $1.50 \n" ); document.write( ": \n" ); document.write( "Equal so: \n" ); document.write( "Frank had 6 dimes 18 nickels \n" ); document.write( "Rick had 9 dimes and 12 nickels\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |