Question 214217
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