document.write( "Question 214217: Todd has 48 words to spell for a puzzle. His mother says she will pay him $1.00 for every word he spells correctly but he has to pay her $0.60 for every word he spells incorrectly. If Todd makes $19.20, how many words did he spell correctly?\r
\n" ); document.write( "\n" ); document.write( "Define the variable, create the equation, and solve. \n" ); document.write( "
Algebra.Com's Answer #162072 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
Let x=number of words that he spells correctly
\n" ); document.write( "Then ($1.00)*x=amount of money he gets for the correct spelling
\n" ); document.write( "48-x=number of words that the spells incorrectly
\n" ); document.write( "Then $0.60(48-x)=amount of money he loses for incorrect spelling
\n" ); document.write( "correct spellings minus incorrect spellings equals $19.20, so our equation to solve is:
\n" ); document.write( "$1.00x-$0.60(48-x)=$19.20 get rid of parens
\n" ); document.write( "$1.00x-$28.80+$0.60x=$19.20 add $28.80 to each side
\n" ); document.write( "$1.00x-$28.80+$28.80+$0.60x=$19.20+$28.80 collect like terms
\n" ); document.write( "($1.60)x=$48.00 divide each side by $1.60
\n" ); document.write( "x=30--------------------number of words correctly spelled
\n" ); document.write( "48-x=48-30=18---------------------number of words incorrectly spelled\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "30*$1.00 - 18*$0.60=$19.20
\n" ); document.write( "$30-$10.80=$19.20
\n" ); document.write( "$19.20=$19.20\r
\n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r
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