document.write( "Question 1186591: The ratio of cars to motorcycles sold at a garage is 5:7. If a dealer sold 142 more motorcycles than cars in a particular month, find the number of each type of vehicle sold. \n" ); document.write( "

Algebra.Com's Answer #817514 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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The ratio of cars to motorcycles sold at a garage is 5:7.
\n" ); document.write( " If a dealer sold 142 more motorcycles than cars in a particular month, find the number of each type of vehicle sold.
\n" ); document.write( ":
\n" ); document.write( "let c = no. of cars sold
\n" ); document.write( "\"dealer sold 142 more motorcycles than cars\". Therefore
\n" ); document.write( "(c+142) = no. of motorcycles sold
\n" ); document.write( ":
\n" ); document.write( " $\"c%2F%28%28c%2B142%29%29\"$ = $\"5%2F7\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "7c = 5(c+142)
\n" ); document.write( "7c = 5c + 710
\n" ); document.write( "7c - 5c = 710
\n" ); document.write( "2c = 710
\n" ); document.write( "c = 710/2
\n" ); document.write( "c = 355 cars,
\n" ); document.write( "and
\n" ); document.write( "142 + 355 = 497 motorcycles
\n" ); document.write( " \n" ); document.write( "

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