Question 214457: 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 stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 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.
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Let x be the number of words correctly spelled.
Let y be the number of words he misspelled.
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He received 100x cents
He paid out 60y cents
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Equations:
Quantity Equation: x + y = 48
Value Equation::::100x - 60y = 1920 cents
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Multiply thru the Quantity Equation by 60 to get:
60x + 60y = 60*48
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Add that to the Value equation:
160x = 1920+60*48
x = 30 (# of words he spelled correctly)
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y = 18 (# of words he misspelled)
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Cheers,
Stan H.
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