document.write( "Question 831621: the first aircraft has 81 more seats than the second aircraft. The third aircraft has 52 fewer seats than the second aircraft. If their total number of seats is 425, find the number of seats for each aircraft. \n" ); document.write( "
Algebra.Com's Answer #501512 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let A be the first aircraft \n" ); document.write( "Let B be the second aircraft \n" ); document.write( "Let C be the third aircraft \n" ); document.write( ". \n" ); document.write( "Here is the information given in the question: \n" ); document.write( "A = B + 81 (the first aircraft has 81 more seats than the second aircraft.) \n" ); document.write( "C = B - 52 (The third aircraft has 52 fewer seats than the second aircraft.) \n" ); document.write( "A + B + C = 425 (their total number of seats is 425) \n" ); document.write( ". \n" ); document.write( "Now substitute the values in the 1st and 2nd equations into the 3rd. \n" ); document.write( "(B+81) + B + (B-52) = 425 \n" ); document.write( "Add the Bs, and do the math \n" ); document.write( "3B +29 = 425 \n" ); document.write( "Subtract 29 from each side \n" ); document.write( "3B = 396 \n" ); document.write( "Divide each side by 3 \n" ); document.write( "B = 132 \n" ); document.write( ". \n" ); document.write( "Since we know B, we can find A (132+81=213), and C (132-52=80). \n" ); document.write( "Let's prove it by adding the three together. \n" ); document.write( "213 + 132 + 80 = 425 \n" ); document.write( "Success! \n" ); document.write( " |