document.write( "Question 1202009: The debate team washed cars to raise money for a trip. They charged $8 for a large car and $5 for a small car. All together they raised $550 and washed 80 cars. How many of each type of car did they wash?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #836620 by ikleyn(52813) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "The debate team washed cars to raise money for a trip.
\n" ); document.write( "They charged $8 for a large car and $5 for a small car.
\n" ); document.write( "All together they raised $550 and washed 80 cars.
\n" ); document.write( "How many of each type of car did they wash?
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Let x be the number of large cars; then (80-x) is the number of small cars.\r\n" );
document.write( "\r\n" );
document.write( "Write the total money equation (for the revenue)\r\n" );
document.write( "\r\n" );
document.write( "    8x + 5*(80-x) = 550  dollars.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    8x + 400 - 5x = 550\r\n" );
document.write( "\r\n" );
document.write( "    8x - 5x = 550 - 400\r\n" );
document.write( "\r\n" );
document.write( "       3x   =    150\r\n" );
document.write( "\r\n" );
document.write( "        x   =    150/3 = 50.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  50 large cars and 80-50 = 30 small cars.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );