document.write( "Question 404677: I just can't seem to get how the word problems become equations.\r
\n" ); document.write( "\n" ); document.write( "John has $446. in ten-dollar, five-dollar, and one-dollar bills. There were 94 bills in all, and 10 more five-dollar bills than ten-dollar bills. How many one-dollar bills did John have? \n" ); document.write( "
Algebra.Com's Answer #285989 by nerdybill(7384)\"\" \"About 
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John has $446. in ten-dollar, five-dollar, and one-dollar bills. There were 94 bills in all, and 10 more five-dollar bills than ten-dollar bills. How many one-dollar bills did John have?
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\n" ); document.write( "Let x = number ten dollar bills
\n" ); document.write( "then
\n" ); document.write( "x+10 = number of five dollar bills
\n" ); document.write( "94-x -(x+10) = number of one dollar bills
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\n" ); document.write( "10x + 5(x+10) + 94-x -(x+10) = 446
\n" ); document.write( "10x + 5(x+10) + 94-x -x-10 = 446
\n" ); document.write( "10x + 5x+50 + 84-2x = 446
\n" ); document.write( "13x + 134 = 446
\n" ); document.write( "13x = 312
\n" ); document.write( "x = 24(tens)
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\n" ); document.write( "Ones:
\n" ); document.write( "94-x -(x+10)
\n" ); document.write( "=94-x -x-10
\n" ); document.write( "=84-2x
\n" ); document.write( "=84-2(24)
\n" ); document.write( "=84-48
\n" ); document.write( "= 36 (number of one dollar bills)\r
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