document.write( "Question 363852: Model Cars, Inc. makes red cars, white cars, and blue cars. THe profit on a blue car is $10 more than the profit on a white car, and the profit on a red car is $7 less than the profit on a white car. If the profit on 2 red cars is $2 less than the profit on one blue car, what is the profit on a blue car? \n" ); document.write( "
Algebra.Com's Answer #259505 by amoresroy(361) You can put this solution on YOUR website! Model Cars, Inc. makes red cars, white cars, and blue cars. THe profit on a blue car is $10 more than the profit on a white car, and the profit on a red car is $7 less than the profit on a white car. If the profit on 2 red cars is $2 less than the profit on one blue car, what is the profit on a blue car?\r \n" ); document.write( "\n" ); document.write( "Let b = profit on a blue car \n" ); document.write( " w = profit on a white car \n" ); document.write( " r = profit on a red car\r \n" ); document.write( "\n" ); document.write( " b = w + 10 (1) \n" ); document.write( " r = w - 7 (2) \n" ); document.write( " 2r = b -2 \n" ); document.write( " 2r-b= -2 (3) \n" ); document.write( " \n" ); document.write( "Subtract eq. (2) by 2q. (1) \n" ); document.write( " r - b = 0 - 7 - 10 \n" ); document.write( " r - b = -17 (4) \n" ); document.write( "Subtract eq. (3) by eq. (4) \n" ); document.write( " r - 0 = -2 - (-17) \n" ); document.write( " r = 15 \n" ); document.write( "in eq (2) \n" ); document.write( " r = w - 7 \n" ); document.write( " 15 = w - 7 \n" ); document.write( " w = 22\r \n" ); document.write( "\n" ); document.write( "in eq (1) \n" ); document.write( " b = w + 10 \n" ); document.write( " b = 22 + 10 \n" ); document.write( " b = 32\r \n" ); document.write( "\n" ); document.write( "The profit on a blue car is $32 \n" ); document.write( " |