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?
Define the variable, create the equation, and solve.
Answer by ptaylor(2198)   (Show Source):
You can put this solution on YOUR website! Let x=number of words that he spells correctly
Then ($1.00)*x=amount of money he gets for the correct spelling
48-x=number of words that the spells incorrectly
Then $0.60(48-x)=amount of money he loses for incorrect spelling
correct spellings minus incorrect spellings equals $19.20, so our equation to solve is:
$1.00x-$0.60(48-x)=$19.20 get rid of parens
$1.00x-$28.80+$0.60x=$19.20 add $28.80 to each side
$1.00x-$28.80+$28.80+$0.60x=$19.20+$28.80 collect like terms
($1.60)x=$48.00 divide each side by $1.60
x=30--------------------number of words correctly spelled
48-x=48-30=18---------------------number of words incorrectly spelled
CK
30*$1.00 - 18*$0.60=$19.20
$30-$10.80=$19.20
$19.20=$19.20
Hope this helps---ptaylor
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