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 #285988 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
It takes time and practice to easily write a word problem into a set of equations...\r
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\n" ); document.write( "\n" ); document.write( "Suppose the number of $10 bills, $5 bills, and $1 bills are denoted by a, b, c respectively. Since John has $446 in total, we can say that\r
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\n" ); document.write( "\n" ); document.write( "446 = 10a + 5b + c\r
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\n" ); document.write( "\n" ); document.write( "Also, there are 94 bills in all, so\r
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\n" ); document.write( "\n" ); document.write( "94 = a + b + c\r
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\n" ); document.write( "\n" ); document.write( "Since there are 10 more $5 bills than $10 bills,\r
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\n" ); document.write( "\n" ); document.write( "b = c + 10\r
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\n" ); document.write( "\n" ); document.write( "We wish to find the (numerical) value of c, in which I'll let you do, by using a system of equations and solving via substitution. Do you see where I got these equations from?\r
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