document.write( "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?\r
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document.write( "Define the variable, create the equation, and solve. \n" );
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Algebra.Com's Answer #161986 by stanbon(75887)![]() ![]() ![]() 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? \n" ); document.write( "Define the variable, create the equation, and solve. \n" ); document.write( "--------------------------------------------------------- \n" ); document.write( "Let x be the number of words correctly spelled. \n" ); document.write( "Let y be the number of words he misspelled. \n" ); document.write( "--------------------------------------------------------- \n" ); document.write( "He received 100x cents \n" ); document.write( "He paid out 60y cents \n" ); document.write( "----------------------------- \n" ); document.write( "Equations: \n" ); document.write( "Quantity Equation: x + y = 48 \n" ); document.write( "Value Equation::::100x - 60y = 1920 cents \n" ); document.write( "----------------------------- \n" ); document.write( "Multiply thru the Quantity Equation by 60 to get: \n" ); document.write( "60x + 60y = 60*48 \n" ); document.write( "------------------------- \n" ); document.write( "Add that to the Value equation: \n" ); document.write( "160x = 1920+60*48 \n" ); document.write( "x = 30 (# of words he spelled correctly) \n" ); document.write( "---- \n" ); document.write( "y = 18 (# of words he misspelled) \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |