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.
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Algebra.Com's Answer #299051 by oberobic(2304)\"\" \"About 
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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
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\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
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\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.
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\n" ); document.write( "Done.
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