document.write( "Question 847475: of two wheels, the circumference of the large one is 3.5 times that of the smaller. In rolling a distance of 63 meters the smaller wheel makes ten more turns than the larger wheel. What is the circumference of each wheel?\r
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Algebra.Com's Answer #510515 by rothauserc(4718)\"\" \"About 
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let x be the circumference of the smaller wheel and 3.5x is the circumference of larger wheel
\n" ); document.write( "let n be the number of revolutions for the larger wheel
\n" ); document.write( "63 = n3.5x
\n" ); document.write( "63 = (n+10)x
\n" ); document.write( "solve for x in second equation and substitute in first
\n" ); document.write( "x = 63/(n+10)
\n" ); document.write( "63 = n(3.5 * 63/(n+10) )
\n" ); document.write( "63 = n (220.5/(n+10))
\n" ); document.write( "cross multiply fractions
\n" ); document.write( "63n+630 = 220.5n
\n" ); document.write( "630 = 157.5n
\n" ); document.write( "n = 4
\n" ); document.write( "substitute for n in second equation
\n" ); document.write( "63 = (4+10)x
\n" ); document.write( "x = 63/14 = 4.5 meters
\n" ); document.write( "circumference of smaller wheel is 4.5 meters and
\n" ); document.write( "circumference of larger wheel is 4.5 * 3.5 = 15.75 meters
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