document.write( "Question 430662: Write a system of equations. Solve the system.\r
\n" );
document.write( "\n" );
document.write( "the two top-grossing movies of 2003 were the lord of the rings and finding nemo. Finding nemo grossed $21.4 million less than The lord of the rings, and together the two films took in $700.8 million. How much did each of these movies earn? Show work. \n" );
document.write( "
Algebra.Com's Answer #299051 by oberobic(2304) ![]() You can put this solution on YOUR website! L = revenue earned by the Lord of the Rings \n" ); document.write( "F = revenue earned by Finding Nemo \n" ); document.write( "Given: \n" ); document.write( "L + F = 700.8 \n" ); document.write( "L = F + 21.4 \n" ); document.write( "Subtract F from both sides \n" ); document.write( "L - F = 21.4 \n" ); document.write( ". \n" ); document.write( "Now we have to equations: \n" ); document.write( "L + F = 700.8 \n" ); document.write( "L - F = 21.4 \n" ); document.write( ". \n" ); document.write( "Add them \n" ); document.write( "2L = 722.2 \n" ); document.write( "Divide both sides by 2 \n" ); document.write( "L = 361.1 \n" ); document.write( ". \n" ); document.write( "Looking back, we can substitute L = 361.1 to find F. \n" ); document.write( "L - F = 21.4 \n" ); document.write( "361.1 -F = 21.4 \n" ); document.write( "Add F to both sides \n" ); document.write( "361.1 = F +21.4 \n" ); document.write( "Subtract 21.4 from both sides \n" ); document.write( "361.1 - 21.4 = F, which means \n" ); document.write( "F = 361.1 -21.4 \n" ); document.write( "F = 339.7 \n" ); document.write( ". \n" ); document.write( "Always check your work! \n" ); document.write( ". \n" ); document.write( "In this case use the other equation you were given. \n" ); document.write( "L + F = ?? \n" ); document.write( "361.1 + 339.7 = 700.8 \n" ); document.write( "That's right. \n" ); document.write( ". \n" ); document.write( "Answer: The Lord of the Rings earned $361.1 million; Finding Nemo earned $339.7 million. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |