document.write( "Question 491543: With the major options package and destination charge, a sports car cost $24,416. The base price of the car was ten times the price of the major options package and fifty times the destination charge. What was the base price of the car? \n" ); document.write( "

Algebra.Com's Answer #334672 by oberobic(2304) $\"\"$ $\"About$

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d = destination charge
\n" ); document.write( "m = major options package
\n" ); document.write( "b = base price
\n" ); document.write( "b + m + d = 24416
\n" ); document.write( ".
\n" ); document.write( "b = 10*m (given)
\n" ); document.write( "So
\n" ); document.write( "m = b/10
\n" ); document.write( ".
\n" ); document.write( "b = 50*d (given)
\n" ); document.write( "So
\n" ); document.write( "d = b/50
\n" ); document.write( ".
\n" ); document.write( "Substituting...
\n" ); document.write( "b + b/10 + b/50 = 24416
\n" ); document.write( "Multiply through by 50 to eliminate fractions
\n" ); document.write( "50b + 5b + b = 50*24416
\n" ); document.write( "56b = 50*24416
\n" ); document.write( "Divide both sides by 56 to find b
\n" ); document.write( "b = 50*24416/56
\n" ); document.write( "b = 21800
\n" ); document.write( ".
\n" ); document.write( "m = b/10
\n" ); document.write( "m = 2180
\n" ); document.write( ".
\n" ); document.write( "d = b/50
\n" ); document.write( "d = 436
\n" ); document.write( ".
\n" ); document.write( "Does that add up?
\n" ); document.write( "b + m + d = 21800 + 2180 + 436
\n" ); document.write( "b + m + d = 24416
\n" ); document.write( "Correct!
\n" ); document.write( ".
\n" ); document.write( "Answer:
\n" ); document.write( "base price = $21,800
\n" ); document.write( "major options = $2,180
\n" ); document.write( "destination charge is $436
\n" ); document.write( ".
\n" ); document.write( "Done \n" ); document.write( "

\n" );