document.write( "Question 190900: Sorry my daughter does not have a grade 9 textbook...just handouts. The handouts are on 'word problems'. The heading on the handout is '5.4 Value Problems'\r
\n" ); document.write( "\n" ); document.write( "Brianne received 9 bills, some twenties,some tens, and some fives, in exchange for a $100 bill. There was twice as many fives as there were tens. How many of each kind of bill did she receive?\r
\n" ); document.write( "\n" ); document.write( "$5 = y= x(2)
\n" ); document.write( "$10 = x
\n" ); document.write( "$20 = z= 9-(x+y)\r
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Algebra.Com's Answer #143338 by nerdybill(7384)\"\" \"About 
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Brianne received 9 bills, some twenties,some tens, and some fives, in exchange for a $100 bill. There was twice as many fives as there were tens. How many of each kind of bill did she receive?
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\n" ); document.write( "Let x = number of tens
\n" ); document.write( "then
\n" ); document.write( "2x = number of fives
\n" ); document.write( "9-(x+2x) = number of twenties
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\n" ); document.write( "Since the total is $100:
\n" ); document.write( "10x + 5(2x) + 20(9-(x+2x)) = 100
\n" ); document.write( "10x + 5(2x) + 20(9-x-2x) = 100
\n" ); document.write( "10x + 5(2x) + 20(9-3x) = 100
\n" ); document.write( "10x + 10x + 180 - 60x = 100
\n" ); document.write( "180 - 40x = 100
\n" ); document.write( "-40x = -80
\n" ); document.write( "x = 2 (number of tens)
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\n" ); document.write( "number of fives:
\n" ); document.write( "2x = 2(2) = 4
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\n" ); document.write( "number of twenties:
\n" ); document.write( "9-(x+2x) = 9-3x = 9-3(2) = 9-6 = 3
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\n" ); document.write( "Answer:
\n" ); document.write( "2 tens, 4 fives, and 3 twenties\r
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