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)\"\" \"About 
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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?
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\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( "\"3%2F2\"x = no. of Ricks dimes
\n" ); document.write( "and
\n" ); document.write( "\"2%2F3\"(24-x) = no. of Ricks nickels
\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*\"3%2F2\"x + .05*\"2%2F3\"(24-x)
\n" ); document.write( ":
\n" ); document.write( ".1x + 1.2 - .05x = \".3%2F2\"x + \".1%2F3\"(24-x)
\n" ); document.write( ":
\n" ); document.write( "+.05x + 1.2 = \".3%2F2\"x + \".1%2F3\"(24-x)
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\n" ); document.write( "Multiply equation by 6 to get rid of the denominators
\n" ); document.write( "6(.05)x + 6(1.2) = 6*\".3%2F2\"x + 6*\".1%2F3\"(24-x)
\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
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\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( "\"3%2F2\"*6 = 9 dimes (Rick)
\n" ); document.write( "\"2%2F3\"*18 = 12 nickels (Rick)
\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
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